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Finding the Third Proportional to 69,384 and 76,674

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Solution

The third proportional to 69,384 and 76,674 is: 84,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,384 : 76,674 = 76,674 : x
  2. Step 2: Convert to fraction form
    69,384/76,674 = 76,674/x
  3. Step 3: Cross multiply
    69,384x = 76,674 × 76,674
  4. Step 4: Simplify right side
    69,384x = 5,878,902,276
  5. Step 5: Solve for x
    x = 5,878,902,276/69,384
  6. Step 6: Final answer
    x = 84,729.94

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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.