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Finding the Third Proportional to 200,497 and 291,723

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Solution

The third proportional to 200,497 and 291,723 is: 424,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,497 : 291,723 = 291,723 : x
  2. Step 2: Convert to fraction form
    200,497/291,723 = 291,723/x
  3. Step 3: Cross multiply
    200,497x = 291,723 × 291,723
  4. Step 4: Simplify right side
    200,497x = 85,102,308,729
  5. Step 5: Solve for x
    x = 85,102,308,729/200,497
  6. Step 6: Final answer
    x = 424,456.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.