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Finding the Third Proportional to 83,415.75 and 129,270.38

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Solution

The third proportional to 83,415.75 and 129,270.38 is: 200,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.75 : 129,270.38 = 129,270.38 : x
  2. Step 2: Convert to fraction form
    83,415.75/129,270.38 = 129,270.38/x
  3. Step 3: Cross multiply
    83,415.75x = 129,270.38 × 129,270.38
  4. Step 4: Simplify right side
    83,415.75x = 16,710,829,852.64
  5. Step 5: Solve for x
    x = 16,710,829,852.64/83,415.75
  6. Step 6: Final answer
    x = 200,331.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.