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Finding the Third Proportional to 92,600 and 142,744

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Solution

The third proportional to 92,600 and 142,744 is: 220,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,600 : 142,744 = 142,744 : x
  2. Step 2: Convert to fraction form
    92,600/142,744 = 142,744/x
  3. Step 3: Cross multiply
    92,600x = 142,744 × 142,744
  4. Step 4: Simplify right side
    92,600x = 20,375,849,536
  5. Step 5: Solve for x
    x = 20,375,849,536/92,600
  6. Step 6: Final answer
    x = 220,041.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.