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Finding the Third Proportional to 198,040 and 416,816

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Solution

The third proportional to 198,040 and 416,816 is: 877,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,040 : 416,816 = 416,816 : x
  2. Step 2: Convert to fraction form
    198,040/416,816 = 416,816/x
  3. Step 3: Cross multiply
    198,040x = 416,816 × 416,816
  4. Step 4: Simplify right side
    198,040x = 173,735,577,856
  5. Step 5: Solve for x
    x = 173,735,577,856/198,040
  6. Step 6: Final answer
    x = 877,275.19

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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.