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Finding the Third Proportional to 87,309 and 190,610

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Solution

The third proportional to 87,309 and 190,610 is: 416,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,309 : 190,610 = 190,610 : x
  2. Step 2: Convert to fraction form
    87,309/190,610 = 190,610/x
  3. Step 3: Cross multiply
    87,309x = 190,610 × 190,610
  4. Step 4: Simplify right side
    87,309x = 36,332,172,100
  5. Step 5: Solve for x
    x = 36,332,172,100/87,309
  6. Step 6: Final answer
    x = 416,133.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.