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Finding the Third Proportional to 33,987 and 52,564.50

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Solution

The third proportional to 33,987 and 52,564.50 is: 81,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987 : 52,564.50 = 52,564.50 : x
  2. Step 2: Convert to fraction form
    33,987/52,564.50 = 52,564.50/x
  3. Step 3: Cross multiply
    33,987x = 52,564.50 × 52,564.50
  4. Step 4: Simplify right side
    33,987x = 2,763,026,660.25
  5. Step 5: Solve for x
    x = 2,763,026,660.25/33,987
  6. Step 6: Final answer
    x = 81,296.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.