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Finding the Third Proportional to 187,420.88 and 408,119.25

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Solution

The third proportional to 187,420.88 and 408,119.25 is: 888,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,420.88 : 408,119.25 = 408,119.25 : x
  2. Step 2: Convert to fraction form
    187,420.88/408,119.25 = 408,119.25/x
  3. Step 3: Cross multiply
    187,420.88x = 408,119.25 × 408,119.25
  4. Step 4: Simplify right side
    187,420.88x = 166,561,322,220.56
  5. Step 5: Solve for x
    x = 166,561,322,220.56/187,420.88
  6. Step 6: Final answer
    x = 888,702.08

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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.