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Finding the Third Proportional to 83,290 and 122,730

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Solution

The third proportional to 83,290 and 122,730 is: 180,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290 : 122,730 = 122,730 : x
  2. Step 2: Convert to fraction form
    83,290/122,730 = 122,730/x
  3. Step 3: Cross multiply
    83,290x = 122,730 × 122,730
  4. Step 4: Simplify right side
    83,290x = 15,062,652,900
  5. Step 5: Solve for x
    x = 15,062,652,900/83,290
  6. Step 6: Final answer
    x = 180,845.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.