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Finding the Third Proportional to 31,880 and 50,637

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Solution

The third proportional to 31,880 and 50,637 is: 80,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880 : 50,637 = 50,637 : x
  2. Step 2: Convert to fraction form
    31,880/50,637 = 50,637/x
  3. Step 3: Cross multiply
    31,880x = 50,637 × 50,637
  4. Step 4: Simplify right side
    31,880x = 2,564,105,769
  5. Step 5: Solve for x
    x = 2,564,105,769/31,880
  6. Step 6: Final answer
    x = 80,429.92

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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.