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Finding the Third Proportional to 31,701 and 68,877

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Solution

The third proportional to 31,701 and 68,877 is: 149,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701 : 68,877 = 68,877 : x
  2. Step 2: Convert to fraction form
    31,701/68,877 = 68,877/x
  3. Step 3: Cross multiply
    31,701x = 68,877 × 68,877
  4. Step 4: Simplify right side
    31,701x = 4,744,041,129
  5. Step 5: Solve for x
    x = 4,744,041,129/31,701
  6. Step 6: Final answer
    x = 149,649.57

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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.