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Finding the Third Proportional to 69,390 and 76,680

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Solution

The third proportional to 69,390 and 76,680 is: 84,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,390 : 76,680 = 76,680 : x
  2. Step 2: Convert to fraction form
    69,390/76,680 = 76,680/x
  3. Step 3: Cross multiply
    69,390x = 76,680 × 76,680
  4. Step 4: Simplify right side
    69,390x = 5,879,822,400
  5. Step 5: Solve for x
    x = 5,879,822,400/69,390
  6. Step 6: Final answer
    x = 84,735.88

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.