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Finding the Third Proportional to 131,709 and 284,478

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Solution

The third proportional to 131,709 and 284,478 is: 614,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,709 : 284,478 = 284,478 : x
  2. Step 2: Convert to fraction form
    131,709/284,478 = 284,478/x
  3. Step 3: Cross multiply
    131,709x = 284,478 × 284,478
  4. Step 4: Simplify right side
    131,709x = 80,927,732,484
  5. Step 5: Solve for x
    x = 80,927,732,484/131,709
  6. Step 6: Final answer
    x = 614,443.45

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Why These Related Problems?

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