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Finding the Third Proportional to 84,720 and 181,074

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Solution

The third proportional to 84,720 and 181,074 is: 387,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,720 : 181,074 = 181,074 : x
  2. Step 2: Convert to fraction form
    84,720/181,074 = 181,074/x
  3. Step 3: Cross multiply
    84,720x = 181,074 × 181,074
  4. Step 4: Simplify right side
    84,720x = 32,787,793,476
  5. Step 5: Solve for x
    x = 32,787,793,476/84,720
  6. Step 6: Final answer
    x = 387,013.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.