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Finding the Third Proportional to 284,126 and 431,373

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Solution

The third proportional to 284,126 and 431,373 is: 654,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,126 : 431,373 = 431,373 : x
  2. Step 2: Convert to fraction form
    284,126/431,373 = 431,373/x
  3. Step 3: Cross multiply
    284,126x = 431,373 × 431,373
  4. Step 4: Simplify right side
    284,126x = 186,082,665,129
  5. Step 5: Solve for x
    x = 186,082,665,129/284,126
  6. Step 6: Final answer
    x = 654,930.08

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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.