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Finding the Third Proportional to 66,216 and 85,020.75

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Solution

The third proportional to 66,216 and 85,020.75 is: 109,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,216 : 85,020.75 = 85,020.75 : x
  2. Step 2: Convert to fraction form
    66,216/85,020.75 = 85,020.75/x
  3. Step 3: Cross multiply
    66,216x = 85,020.75 × 85,020.75
  4. Step 4: Simplify right side
    66,216x = 7,228,527,930.56
  5. Step 5: Solve for x
    x = 7,228,527,930.56/66,216
  6. Step 6: Final answer
    x = 109,165.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.