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Finding the Third Proportional to 198,411.38 and 416,478.75

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Solution

The third proportional to 198,411.38 and 416,478.75 is: 874,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,411.38 : 416,478.75 = 416,478.75 : x
  2. Step 2: Convert to fraction form
    198,411.38/416,478.75 = 416,478.75/x
  3. Step 3: Cross multiply
    198,411.38x = 416,478.75 × 416,478.75
  4. Step 4: Simplify right side
    198,411.38x = 173,454,549,201.56
  5. Step 5: Solve for x
    x = 173,454,549,201.56/198,411.38
  6. Step 6: Final answer
    x = 874,216.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.