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Finding the Third Proportional to 125,274.09 and 278,500.78

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Solution

The third proportional to 125,274.09 and 278,500.78 is: 619,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,274.09 : 278,500.78 = 278,500.78 : x
  2. Step 2: Convert to fraction form
    125,274.09/278,500.78 = 278,500.78/x
  3. Step 3: Cross multiply
    125,274.09x = 278,500.78 × 278,500.78
  4. Step 4: Simplify right side
    125,274.09x = 77,562,685,156.86
  5. Step 5: Solve for x
    x = 77,562,685,156.86/125,274.09
  6. Step 6: Final answer
    x = 619,143.85

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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.