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Finding the Third Proportional to 142,711.50 and 222,238

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Solution

The third proportional to 142,711.50 and 222,238 is: 346,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.50 : 222,238 = 222,238 : x
  2. Step 2: Convert to fraction form
    142,711.50/222,238 = 222,238/x
  3. Step 3: Cross multiply
    142,711.50x = 222,238 × 222,238
  4. Step 4: Simplify right side
    142,711.50x = 49,389,728,644
  5. Step 5: Solve for x
    x = 49,389,728,644/142,711.50
  6. Step 6: Final answer
    x = 346,080.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.