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Finding the Third Proportional to 125,142.79 and 259,156.97

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Solution

The third proportional to 125,142.79 and 259,156.97 is: 536,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,142.79 : 259,156.97 = 259,156.97 : x
  2. Step 2: Convert to fraction form
    125,142.79/259,156.97 = 259,156.97/x
  3. Step 3: Cross multiply
    125,142.79x = 259,156.97 × 259,156.97
  4. Step 4: Simplify right side
    125,142.79x = 67,162,334,451.69
  5. Step 5: Solve for x
    x = 67,162,334,451.69/125,142.79
  6. Step 6: Final answer
    x = 536,685.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.