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Finding the Third Proportional to 78,442 and 170,708

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Solution

The third proportional to 78,442 and 170,708 is: 371,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442 : 170,708 = 170,708 : x
  2. Step 2: Convert to fraction form
    78,442/170,708 = 170,708/x
  3. Step 3: Cross multiply
    78,442x = 170,708 × 170,708
  4. Step 4: Simplify right side
    78,442x = 29,141,221,264
  5. Step 5: Solve for x
    x = 29,141,221,264/78,442
  6. Step 6: Final answer
    x = 371,500.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.