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Finding the Third Proportional to 206,472 and 290,748

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Solution

The third proportional to 206,472 and 290,748 is: 409,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472 : 290,748 = 290,748 : x
  2. Step 2: Convert to fraction form
    206,472/290,748 = 290,748/x
  3. Step 3: Cross multiply
    206,472x = 290,748 × 290,748
  4. Step 4: Simplify right side
    206,472x = 84,534,399,504
  5. Step 5: Solve for x
    x = 84,534,399,504/206,472
  6. Step 6: Final answer
    x = 409,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.