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Finding the Third Proportional to 78,814 and 170,744

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Solution

The third proportional to 78,814 and 170,744 is: 369,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,814 : 170,744 = 170,744 : x
  2. Step 2: Convert to fraction form
    78,814/170,744 = 170,744/x
  3. Step 3: Cross multiply
    78,814x = 170,744 × 170,744
  4. Step 4: Simplify right side
    78,814x = 29,153,513,536
  5. Step 5: Solve for x
    x = 29,153,513,536/78,814
  6. Step 6: Final answer
    x = 369,902.73

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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.