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Finding the Third Proportional to 81,373.50 and 125,748

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Solution

The third proportional to 81,373.50 and 125,748 is: 194,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,373.50 : 125,748 = 125,748 : x
  2. Step 2: Convert to fraction form
    81,373.50/125,748 = 125,748/x
  3. Step 3: Cross multiply
    81,373.50x = 125,748 × 125,748
  4. Step 4: Simplify right side
    81,373.50x = 15,812,559,504
  5. Step 5: Solve for x
    x = 15,812,559,504/81,373.50
  6. Step 6: Final answer
    x = 194,320.75

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