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Finding the Third Proportional to 318,755 and 693,587

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Solution

The third proportional to 318,755 and 693,587 is: 1,509,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,755 : 693,587 = 693,587 : x
  2. Step 2: Convert to fraction form
    318,755/693,587 = 693,587/x
  3. Step 3: Cross multiply
    318,755x = 693,587 × 693,587
  4. Step 4: Simplify right side
    318,755x = 481,062,926,569
  5. Step 5: Solve for x
    x = 481,062,926,569/318,755
  6. Step 6: Final answer
    x = 1,509,193.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.