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Finding the Third Proportional to 408,021 and 612,387

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Solution

The third proportional to 408,021 and 612,387 is: 919,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,021 : 612,387 = 612,387 : x
  2. Step 2: Convert to fraction form
    408,021/612,387 = 612,387/x
  3. Step 3: Cross multiply
    408,021x = 612,387 × 612,387
  4. Step 4: Simplify right side
    408,021x = 375,017,837,769
  5. Step 5: Solve for x
    x = 375,017,837,769/408,021
  6. Step 6: Final answer
    x = 919,114.06

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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.