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Finding the Third Proportional to 187,435.13 and 408,147.75

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Solution

The third proportional to 187,435.13 and 408,147.75 is: 888,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,435.13 : 408,147.75 = 408,147.75 : x
  2. Step 2: Convert to fraction form
    187,435.13/408,147.75 = 408,147.75/x
  3. Step 3: Cross multiply
    187,435.13x = 408,147.75 × 408,147.75
  4. Step 4: Simplify right side
    187,435.13x = 166,584,585,830.06
  5. Step 5: Solve for x
    x = 166,584,585,830.06/187,435.13
  6. Step 6: Final answer
    x = 888,758.63

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