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Finding the Third Proportional to 81,474 and 127,972.50

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Solution

The third proportional to 81,474 and 127,972.50 is: 201,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474 : 127,972.50 = 127,972.50 : x
  2. Step 2: Convert to fraction form
    81,474/127,972.50 = 127,972.50/x
  3. Step 3: Cross multiply
    81,474x = 127,972.50 × 127,972.50
  4. Step 4: Simplify right side
    81,474x = 16,376,960,756.25
  5. Step 5: Solve for x
    x = 16,376,960,756.25/81,474
  6. Step 6: Final answer
    x = 201,008.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.