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Finding the Third Proportional to 129,539.75 and 278,762.56

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Solution

The third proportional to 129,539.75 and 278,762.56 is: 599,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,539.75 : 278,762.56 = 278,762.56 : x
  2. Step 2: Convert to fraction form
    129,539.75/278,762.56 = 278,762.56/x
  3. Step 3: Cross multiply
    129,539.75x = 278,762.56 × 278,762.56
  4. Step 4: Simplify right side
    129,539.75x = 77,708,566,251.57
  5. Step 5: Solve for x
    x = 77,708,566,251.57/129,539.75
  6. Step 6: Final answer
    x = 599,882.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.