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Finding the Third Proportional to 78,424 and 170,540

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Solution

The third proportional to 78,424 and 170,540 is: 370,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424 : 170,540 = 170,540 : x
  2. Step 2: Convert to fraction form
    78,424/170,540 = 170,540/x
  3. Step 3: Cross multiply
    78,424x = 170,540 × 170,540
  4. Step 4: Simplify right side
    78,424x = 29,083,891,600
  5. Step 5: Solve for x
    x = 29,083,891,600/78,424
  6. Step 6: Final answer
    x = 370,854.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.