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Finding the Third Proportional to 125,178.75 and 278,344.69

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Solution

The third proportional to 125,178.75 and 278,344.69 is: 618,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,178.75 : 278,344.69 = 278,344.69 : x
  2. Step 2: Convert to fraction form
    125,178.75/278,344.69 = 278,344.69/x
  3. Step 3: Cross multiply
    125,178.75x = 278,344.69 × 278,344.69
  4. Step 4: Simplify right side
    125,178.75x = 77,475,765,059.47
  5. Step 5: Solve for x
    x = 77,475,765,059.47/125,178.75
  6. Step 6: Final answer
    x = 618,921.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.