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Finding the Third Proportional to 131,474 and 200,487

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Solution

The third proportional to 131,474 and 200,487 is: 305,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,474 : 200,487 = 200,487 : x
  2. Step 2: Convert to fraction form
    131,474/200,487 = 200,487/x
  3. Step 3: Cross multiply
    131,474x = 200,487 × 200,487
  4. Step 4: Simplify right side
    131,474x = 40,195,037,169
  5. Step 5: Solve for x
    x = 40,195,037,169/131,474
  6. Step 6: Final answer
    x = 305,726.13

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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.