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Finding the Third Proportional to 476,313 and 648,660

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Solution

The third proportional to 476,313 and 648,660 is: 883,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,313 : 648,660 = 648,660 : x
  2. Step 2: Convert to fraction form
    476,313/648,660 = 648,660/x
  3. Step 3: Cross multiply
    476,313x = 648,660 × 648,660
  4. Step 4: Simplify right side
    476,313x = 420,759,795,600
  5. Step 5: Solve for x
    x = 420,759,795,600/476,313
  6. Step 6: Final answer
    x = 883,368.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.