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Finding the Third Proportional to 65,218.50 and 87,357

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Solution

The third proportional to 65,218.50 and 87,357 is: 117,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.50 : 87,357 = 87,357 : x
  2. Step 2: Convert to fraction form
    65,218.50/87,357 = 87,357/x
  3. Step 3: Cross multiply
    65,218.50x = 87,357 × 87,357
  4. Step 4: Simplify right side
    65,218.50x = 7,631,245,449
  5. Step 5: Solve for x
    x = 7,631,245,449/65,218.50
  6. Step 6: Final answer
    x = 117,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.