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Finding the Third Proportional to 284,129 and 431,377

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Solution

The third proportional to 284,129 and 431,377 is: 654,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,129 : 431,377 = 431,377 : x
  2. Step 2: Convert to fraction form
    284,129/431,377 = 431,377/x
  3. Step 3: Cross multiply
    284,129x = 431,377 × 431,377
  4. Step 4: Simplify right side
    284,129x = 186,086,116,129
  5. Step 5: Solve for x
    x = 186,086,116,129/284,129
  6. Step 6: Final answer
    x = 654,935.32

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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.