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Finding the Third Proportional to 20,534 and 47,987

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Solution

The third proportional to 20,534 and 47,987 is: 112,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534 : 47,987 = 47,987 : x
  2. Step 2: Convert to fraction form
    20,534/47,987 = 47,987/x
  3. Step 3: Cross multiply
    20,534x = 47,987 × 47,987
  4. Step 4: Simplify right side
    20,534x = 2,302,752,169
  5. Step 5: Solve for x
    x = 2,302,752,169/20,534
  6. Step 6: Final answer
    x = 112,143.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.