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Finding the Third Proportional to 71,510 and 166,259

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Solution

The third proportional to 71,510 and 166,259 is: 386,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510 : 166,259 = 166,259 : x
  2. Step 2: Convert to fraction form
    71,510/166,259 = 166,259/x
  3. Step 3: Cross multiply
    71,510x = 166,259 × 166,259
  4. Step 4: Simplify right side
    71,510x = 27,642,055,081
  5. Step 5: Solve for x
    x = 27,642,055,081/71,510
  6. Step 6: Final answer
    x = 386,548.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.