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Finding the Third Proportional to 29,761 and 64,864

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Solution

The third proportional to 29,761 and 64,864 is: 141,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761 : 64,864 = 64,864 : x
  2. Step 2: Convert to fraction form
    29,761/64,864 = 64,864/x
  3. Step 3: Cross multiply
    29,761x = 64,864 × 64,864
  4. Step 4: Simplify right side
    29,761x = 4,207,338,496
  5. Step 5: Solve for x
    x = 4,207,338,496/29,761
  6. Step 6: Final answer
    x = 141,370.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.