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Finding the Third Proportional to 65,987.25 and 89,652

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Solution

The third proportional to 65,987.25 and 89,652 is: 121,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,987.25 : 89,652 = 89,652 : x
  2. Step 2: Convert to fraction form
    65,987.25/89,652 = 89,652/x
  3. Step 3: Cross multiply
    65,987.25x = 89,652 × 89,652
  4. Step 4: Simplify right side
    65,987.25x = 8,037,481,104
  5. Step 5: Solve for x
    x = 8,037,481,104/65,987.25
  6. Step 6: Final answer
    x = 121,803.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.