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Finding the Third Proportional to 20,116 and 31,387

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Solution

The third proportional to 20,116 and 31,387 is: 48,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116 : 31,387 = 31,387 : x
  2. Step 2: Convert to fraction form
    20,116/31,387 = 31,387/x
  3. Step 3: Cross multiply
    20,116x = 31,387 × 31,387
  4. Step 4: Simplify right side
    20,116x = 985,143,769
  5. Step 5: Solve for x
    x = 985,143,769/20,116
  6. Step 6: Final answer
    x = 48,973.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.