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Finding the Third Proportional to 78,822 and 115,161

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Solution

The third proportional to 78,822 and 115,161 is: 168,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822 : 115,161 = 115,161 : x
  2. Step 2: Convert to fraction form
    78,822/115,161 = 115,161/x
  3. Step 3: Cross multiply
    78,822x = 115,161 × 115,161
  4. Step 4: Simplify right side
    78,822x = 13,262,055,921
  5. Step 5: Solve for x
    x = 13,262,055,921/78,822
  6. Step 6: Final answer
    x = 168,253.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.