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Finding the Third Proportional to 199,394 and 428,020

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Solution

The third proportional to 199,394 and 428,020 is: 918,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,394 : 428,020 = 428,020 : x
  2. Step 2: Convert to fraction form
    199,394/428,020 = 428,020/x
  3. Step 3: Cross multiply
    199,394x = 428,020 × 428,020
  4. Step 4: Simplify right side
    199,394x = 183,201,120,400
  5. Step 5: Solve for x
    x = 183,201,120,400/199,394
  6. Step 6: Final answer
    x = 918,789.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.