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Finding the Third Proportional to 129,805.50 and 278,403

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Solution

The third proportional to 129,805.50 and 278,403 is: 597,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,805.50 : 278,403 = 278,403 : x
  2. Step 2: Convert to fraction form
    129,805.50/278,403 = 278,403/x
  3. Step 3: Cross multiply
    129,805.50x = 278,403 × 278,403
  4. Step 4: Simplify right side
    129,805.50x = 77,508,230,409
  5. Step 5: Solve for x
    x = 77,508,230,409/129,805.50
  6. Step 6: Final answer
    x = 597,110.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.