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Finding the Third Proportional to 408,394 and 612,983

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Solution

The third proportional to 408,394 and 612,983 is: 920,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,394 : 612,983 = 612,983 : x
  2. Step 2: Convert to fraction form
    408,394/612,983 = 612,983/x
  3. Step 3: Cross multiply
    408,394x = 612,983 × 612,983
  4. Step 4: Simplify right side
    408,394x = 375,748,158,289
  5. Step 5: Solve for x
    x = 375,748,158,289/408,394
  6. Step 6: Final answer
    x = 920,062.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.