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Finding the Third Proportional to 8,250 and 12,765.75

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Solution

The third proportional to 8,250 and 12,765.75 is: 19,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250 : 12,765.75 = 12,765.75 : x
  2. Step 2: Convert to fraction form
    8,250/12,765.75 = 12,765.75/x
  3. Step 3: Cross multiply
    8,250x = 12,765.75 × 12,765.75
  4. Step 4: Simplify right side
    8,250x = 162,964,373.06
  5. Step 5: Solve for x
    x = 162,964,373.06/8,250
  6. Step 6: Final answer
    x = 19,753.26

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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.