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Finding the Third Proportional to 207,665 and 315,602

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Solution

The third proportional to 207,665 and 315,602 is: 479,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,665 : 315,602 = 315,602 : x
  2. Step 2: Convert to fraction form
    207,665/315,602 = 315,602/x
  3. Step 3: Cross multiply
    207,665x = 315,602 × 315,602
  4. Step 4: Simplify right side
    207,665x = 99,604,622,404
  5. Step 5: Solve for x
    x = 99,604,622,404/207,665
  6. Step 6: Final answer
    x = 479,640.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.