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Finding the Third Proportional to 77,042 and 122,571

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Solution

The third proportional to 77,042 and 122,571 is: 195,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042 : 122,571 = 122,571 : x
  2. Step 2: Convert to fraction form
    77,042/122,571 = 122,571/x
  3. Step 3: Cross multiply
    77,042x = 122,571 × 122,571
  4. Step 4: Simplify right side
    77,042x = 15,023,650,041
  5. Step 5: Solve for x
    x = 15,023,650,041/77,042
  6. Step 6: Final answer
    x = 195,005.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.