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Finding the Third Proportional to 77,822 and 175,853

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Solution

The third proportional to 77,822 and 175,853 is: 397,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,822 : 175,853 = 175,853 : x
  2. Step 2: Convert to fraction form
    77,822/175,853 = 175,853/x
  3. Step 3: Cross multiply
    77,822x = 175,853 × 175,853
  4. Step 4: Simplify right side
    77,822x = 30,924,277,609
  5. Step 5: Solve for x
    x = 30,924,277,609/77,822
  6. Step 6: Final answer
    x = 397,371.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.