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Finding the Third Proportional to 82,163 and 176,780

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Solution

The third proportional to 82,163 and 176,780 is: 380,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163 : 176,780 = 176,780 : x
  2. Step 2: Convert to fraction form
    82,163/176,780 = 176,780/x
  3. Step 3: Cross multiply
    82,163x = 176,780 × 176,780
  4. Step 4: Simplify right side
    82,163x = 31,251,168,400
  5. Step 5: Solve for x
    x = 31,251,168,400/82,163
  6. Step 6: Final answer
    x = 380,355.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.