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Finding the Third Proportional to 83,123.09 and 121,737.30

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Solution

The third proportional to 83,123.09 and 121,737.30 is: 178,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,123.09 : 121,737.30 = 121,737.30 : x
  2. Step 2: Convert to fraction form
    83,123.09/121,737.30 = 121,737.30/x
  3. Step 3: Cross multiply
    83,123.09x = 121,737.30 × 121,737.30
  4. Step 4: Simplify right side
    83,123.09x = 14,819,971,352.58
  5. Step 5: Solve for x
    x = 14,819,971,352.58/83,123.09
  6. Step 6: Final answer
    x = 178,289.48

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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.