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Finding the Third Proportional to 69,766 and 99,636

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Solution

The third proportional to 69,766 and 99,636 is: 142,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,766 : 99,636 = 99,636 : x
  2. Step 2: Convert to fraction form
    69,766/99,636 = 99,636/x
  3. Step 3: Cross multiply
    69,766x = 99,636 × 99,636
  4. Step 4: Simplify right side
    69,766x = 9,927,332,496
  5. Step 5: Solve for x
    x = 9,927,332,496/69,766
  6. Step 6: Final answer
    x = 142,294.71

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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.