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Finding the Third Proportional to 69,793 and 99,687

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Solution

The third proportional to 69,793 and 99,687 is: 142,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,793 : 99,687 = 99,687 : x
  2. Step 2: Convert to fraction form
    69,793/99,687 = 99,687/x
  3. Step 3: Cross multiply
    69,793x = 99,687 × 99,687
  4. Step 4: Simplify right side
    69,793x = 9,937,497,969
  5. Step 5: Solve for x
    x = 9,937,497,969/69,793
  6. Step 6: Final answer
    x = 142,385.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.