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Finding the Third Proportional to 47,987 and 101,511

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Solution

The third proportional to 47,987 and 101,511 is: 214,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987 : 101,511 = 101,511 : x
  2. Step 2: Convert to fraction form
    47,987/101,511 = 101,511/x
  3. Step 3: Cross multiply
    47,987x = 101,511 × 101,511
  4. Step 4: Simplify right side
    47,987x = 10,304,483,121
  5. Step 5: Solve for x
    x = 10,304,483,121/47,987
  6. Step 6: Final answer
    x = 214,734.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.