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Finding the Third Proportional to 195,498 and 428,418

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Solution

The third proportional to 195,498 and 428,418 is: 938,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,498 : 428,418 = 428,418 : x
  2. Step 2: Convert to fraction form
    195,498/428,418 = 428,418/x
  3. Step 3: Cross multiply
    195,498x = 428,418 × 428,418
  4. Step 4: Simplify right side
    195,498x = 183,541,982,724
  5. Step 5: Solve for x
    x = 183,541,982,724/195,498
  6. Step 6: Final answer
    x = 938,843.28

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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.