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Finding the Third Proportional to 64,489.50 and 99,651

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Solution

The third proportional to 64,489.50 and 99,651 is: 153,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,489.50 : 99,651 = 99,651 : x
  2. Step 2: Convert to fraction form
    64,489.50/99,651 = 99,651/x
  3. Step 3: Cross multiply
    64,489.50x = 99,651 × 99,651
  4. Step 4: Simplify right side
    64,489.50x = 9,930,321,801
  5. Step 5: Solve for x
    x = 9,930,321,801/64,489.50
  6. Step 6: Final answer
    x = 153,983.54

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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.