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Finding the Third Proportional to 83,594 and 122,718

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Solution

The third proportional to 83,594 and 122,718 is: 180,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594 : 122,718 = 122,718 : x
  2. Step 2: Convert to fraction form
    83,594/122,718 = 122,718/x
  3. Step 3: Cross multiply
    83,594x = 122,718 × 122,718
  4. Step 4: Simplify right side
    83,594x = 15,059,707,524
  5. Step 5: Solve for x
    x = 15,059,707,524/83,594
  6. Step 6: Final answer
    x = 180,152.97

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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.