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Finding the Third Proportional to 40,711 and 64,761

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Solution

The third proportional to 40,711 and 64,761 is: 103,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,711 : 64,761 = 64,761 : x
  2. Step 2: Convert to fraction form
    40,711/64,761 = 64,761/x
  3. Step 3: Cross multiply
    40,711x = 64,761 × 64,761
  4. Step 4: Simplify right side
    40,711x = 4,193,987,121
  5. Step 5: Solve for x
    x = 4,193,987,121/40,711
  6. Step 6: Final answer
    x = 103,018.52

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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.