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Finding the Third Proportional to 83,412 and 122,920

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Solution

The third proportional to 83,412 and 122,920 is: 181,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412 : 122,920 = 122,920 : x
  2. Step 2: Convert to fraction form
    83,412/122,920 = 122,920/x
  3. Step 3: Cross multiply
    83,412x = 122,920 × 122,920
  4. Step 4: Simplify right side
    83,412x = 15,109,326,400
  5. Step 5: Solve for x
    x = 15,109,326,400/83,412
  6. Step 6: Final answer
    x = 181,140.92

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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.