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Finding the Third Proportional to 151,432 and 318,537

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Solution

The third proportional to 151,432 and 318,537 is: 670,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,432 : 318,537 = 318,537 : x
  2. Step 2: Convert to fraction form
    151,432/318,537 = 318,537/x
  3. Step 3: Cross multiply
    151,432x = 318,537 × 318,537
  4. Step 4: Simplify right side
    151,432x = 101,465,820,369
  5. Step 5: Solve for x
    x = 101,465,820,369/151,432
  6. Step 6: Final answer
    x = 670,042.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.