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Finding the Third Proportional to 198,498 and 428,707.50

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Solution

The third proportional to 198,498 and 428,707.50 is: 925,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,498 : 428,707.50 = 428,707.50 : x
  2. Step 2: Convert to fraction form
    198,498/428,707.50 = 428,707.50/x
  3. Step 3: Cross multiply
    198,498x = 428,707.50 × 428,707.50
  4. Step 4: Simplify right side
    198,498x = 183,790,120,556.25
  5. Step 5: Solve for x
    x = 183,790,120,556.25/198,498
  6. Step 6: Final answer
    x = 925,904.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.