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Finding the Third Proportional to 476,123,567,193 and 1,027,988,046,738

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Solution

The third proportional to 476,123,567,193 and 1,027,988,046,738 is: 2,219,506,651,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,123,567,193 : 1,027,988,046,738 = 1,027,988,046,738 : x
  2. Step 2: Convert to fraction form
    476,123,567,193/1,027,988,046,738 = 1,027,988,046,738/x
  3. Step 3: Cross multiply
    476,123,567,193x = 1,027,988,046,738 × 1,027,988,046,738
  4. Step 4: Simplify right side
    476,123,567,193x = 1,056,759,424,236,208,466,690,048
  5. Step 5: Solve for x
    x = 1,056,759,424,236,208,466,690,048/476,123,567,193
  6. Step 6: Final answer
    x = 2,219,506,651,322.39

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