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Finding the Third Proportional to 83,418 and 122,915

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Solution

The third proportional to 83,418 and 122,915 is: 181,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,418 : 122,915 = 122,915 : x
  2. Step 2: Convert to fraction form
    83,418/122,915 = 122,915/x
  3. Step 3: Cross multiply
    83,418x = 122,915 × 122,915
  4. Step 4: Simplify right side
    83,418x = 15,108,097,225
  5. Step 5: Solve for x
    x = 15,108,097,225/83,418
  6. Step 6: Final answer
    x = 181,113.16

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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.