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Finding the Third Proportional to 393,959 and 611,189

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Solution

The third proportional to 393,959 and 611,189 is: 948,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,959 : 611,189 = 611,189 : x
  2. Step 2: Convert to fraction form
    393,959/611,189 = 611,189/x
  3. Step 3: Cross multiply
    393,959x = 611,189 × 611,189
  4. Step 4: Simplify right side
    393,959x = 373,551,993,721
  5. Step 5: Solve for x
    x = 373,551,993,721/393,959
  6. Step 6: Final answer
    x = 948,200.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.