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Finding the Third Proportional to 87,858 and 193,210

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Solution

The third proportional to 87,858 and 193,210 is: 424,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,858 : 193,210 = 193,210 : x
  2. Step 2: Convert to fraction form
    87,858/193,210 = 193,210/x
  3. Step 3: Cross multiply
    87,858x = 193,210 × 193,210
  4. Step 4: Simplify right side
    87,858x = 37,330,104,100
  5. Step 5: Solve for x
    x = 37,330,104,100/87,858
  6. Step 6: Final answer
    x = 424,891.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.