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Finding the Third Proportional to 91,801.50 and 129,273

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Solution

The third proportional to 91,801.50 and 129,273 is: 182,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,801.50 : 129,273 = 129,273 : x
  2. Step 2: Convert to fraction form
    91,801.50/129,273 = 129,273/x
  3. Step 3: Cross multiply
    91,801.50x = 129,273 × 129,273
  4. Step 4: Simplify right side
    91,801.50x = 16,711,508,529
  5. Step 5: Solve for x
    x = 16,711,508,529/91,801.50
  6. Step 6: Final answer
    x = 182,039.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.