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Finding the Third Proportional to 29,891 and 64,791

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Solution

The third proportional to 29,891 and 64,791 is: 140,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891 : 64,791 = 64,791 : x
  2. Step 2: Convert to fraction form
    29,891/64,791 = 64,791/x
  3. Step 3: Cross multiply
    29,891x = 64,791 × 64,791
  4. Step 4: Simplify right side
    29,891x = 4,197,873,681
  5. Step 5: Solve for x
    x = 4,197,873,681/29,891
  6. Step 6: Final answer
    x = 140,439.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.