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Finding the Third Proportional to 71,802 and 102,780

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Solution

The third proportional to 71,802 and 102,780 is: 147,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802 : 102,780 = 102,780 : x
  2. Step 2: Convert to fraction form
    71,802/102,780 = 102,780/x
  3. Step 3: Cross multiply
    71,802x = 102,780 × 102,780
  4. Step 4: Simplify right side
    71,802x = 10,563,728,400
  5. Step 5: Solve for x
    x = 10,563,728,400/71,802
  6. Step 6: Final answer
    x = 147,123.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.