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Finding the Third Proportional to 476,123,567,220 and 1,027,988,046,792

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Solution

The third proportional to 476,123,567,220 and 1,027,988,046,792 is: 2,219,506,651,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,123,567,220 : 1,027,988,046,792 = 1,027,988,046,792 : x
  2. Step 2: Convert to fraction form
    476,123,567,220/1,027,988,046,792 = 1,027,988,046,792/x
  3. Step 3: Cross multiply
    476,123,567,220x = 1,027,988,046,792 × 1,027,988,046,792
  4. Step 4: Simplify right side
    476,123,567,220x = 1,056,759,424,347,231,223,808,000
  5. Step 5: Solve for x
    x = 1,056,759,424,347,231,223,808,000/476,123,567,220
  6. Step 6: Final answer
    x = 2,219,506,651,429.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.