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Finding the Third Proportional to 71,373 and 102,645

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Solution

The third proportional to 71,373 and 102,645 is: 147,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,373 : 102,645 = 102,645 : x
  2. Step 2: Convert to fraction form
    71,373/102,645 = 102,645/x
  3. Step 3: Cross multiply
    71,373x = 102,645 × 102,645
  4. Step 4: Simplify right side
    71,373x = 10,535,996,025
  5. Step 5: Solve for x
    x = 10,535,996,025/71,373
  6. Step 6: Final answer
    x = 147,618.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.