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Finding the Third Proportional to 83,128.78 and 121,777.17

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Solution

The third proportional to 83,128.78 and 121,777.17 is: 178,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,128.78 : 121,777.17 = 121,777.17 : x
  2. Step 2: Convert to fraction form
    83,128.78/121,777.17 = 121,777.17/x
  3. Step 3: Cross multiply
    83,128.78x = 121,777.17 × 121,777.17
  4. Step 4: Simplify right side
    83,128.78x = 14,829,679,589.87
  5. Step 5: Solve for x
    x = 14,829,679,589.87/83,128.78
  6. Step 6: Final answer
    x = 178,394.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.