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Finding the Third Proportional to 131,247 and 287,919

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Solution

The third proportional to 131,247 and 287,919 is: 631,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,247 : 287,919 = 287,919 : x
  2. Step 2: Convert to fraction form
    131,247/287,919 = 287,919/x
  3. Step 3: Cross multiply
    131,247x = 287,919 × 287,919
  4. Step 4: Simplify right side
    131,247x = 82,897,350,561
  5. Step 5: Solve for x
    x = 82,897,350,561/131,247
  6. Step 6: Final answer
    x = 631,613.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.