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Finding the Third Proportional to 81,780 and 176,460

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Solution

The third proportional to 81,780 and 176,460 is: 380,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,780 : 176,460 = 176,460 : x
  2. Step 2: Convert to fraction form
    81,780/176,460 = 176,460/x
  3. Step 3: Cross multiply
    81,780x = 176,460 × 176,460
  4. Step 4: Simplify right side
    81,780x = 31,138,131,600
  5. Step 5: Solve for x
    x = 31,138,131,600/81,780
  6. Step 6: Final answer
    x = 380,754.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.