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Finding the Third Proportional to 418,029 and 640,539

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Solution

The third proportional to 418,029 and 640,539 is: 981,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,029 : 640,539 = 640,539 : x
  2. Step 2: Convert to fraction form
    418,029/640,539 = 640,539/x
  3. Step 3: Cross multiply
    418,029x = 640,539 × 640,539
  4. Step 4: Simplify right side
    418,029x = 410,290,210,521
  5. Step 5: Solve for x
    x = 410,290,210,521/418,029
  6. Step 6: Final answer
    x = 981,487.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.