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Finding the Third Proportional to 77,802 and 165,972

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Solution

The third proportional to 77,802 and 165,972 is: 354,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802 : 165,972 = 165,972 : x
  2. Step 2: Convert to fraction form
    77,802/165,972 = 165,972/x
  3. Step 3: Cross multiply
    77,802x = 165,972 × 165,972
  4. Step 4: Simplify right side
    77,802x = 27,546,704,784
  5. Step 5: Solve for x
    x = 27,546,704,784/77,802
  6. Step 6: Final answer
    x = 354,061.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.