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Finding the Third Proportional to 198,438 and 435,416.25

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Solution

The third proportional to 198,438 and 435,416.25 is: 955,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438 : 435,416.25 = 435,416.25 : x
  2. Step 2: Convert to fraction form
    198,438/435,416.25 = 435,416.25/x
  3. Step 3: Cross multiply
    198,438x = 435,416.25 × 435,416.25
  4. Step 4: Simplify right side
    198,438x = 189,587,310,764.06
  5. Step 5: Solve for x
    x = 189,587,310,764.06/198,438
  6. Step 6: Final answer
    x = 955,398.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.