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Finding the Third Proportional to 78,550 and 170,924

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Solution

The third proportional to 78,550 and 170,924 is: 371,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550 : 170,924 = 170,924 : x
  2. Step 2: Convert to fraction form
    78,550/170,924 = 170,924/x
  3. Step 3: Cross multiply
    78,550x = 170,924 × 170,924
  4. Step 4: Simplify right side
    78,550x = 29,215,013,776
  5. Step 5: Solve for x
    x = 29,215,013,776/78,550
  6. Step 6: Final answer
    x = 371,928.88

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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.