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Finding the Third Proportional to 187,421.25 and 408,120

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Solution

The third proportional to 187,421.25 and 408,120 is: 888,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,421.25 : 408,120 = 408,120 : x
  2. Step 2: Convert to fraction form
    187,421.25/408,120 = 408,120/x
  3. Step 3: Cross multiply
    187,421.25x = 408,120 × 408,120
  4. Step 4: Simplify right side
    187,421.25x = 166,561,934,400
  5. Step 5: Solve for x
    x = 166,561,934,400/187,421.25
  6. Step 6: Final answer
    x = 888,703.57

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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.