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Finding the Third Proportional to 391,608 and 605,853

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Solution

The third proportional to 391,608 and 605,853 is: 937,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,608 : 605,853 = 605,853 : x
  2. Step 2: Convert to fraction form
    391,608/605,853 = 605,853/x
  3. Step 3: Cross multiply
    391,608x = 605,853 × 605,853
  4. Step 4: Simplify right side
    391,608x = 367,057,857,609
  5. Step 5: Solve for x
    x = 367,057,857,609/391,608
  6. Step 6: Final answer
    x = 937,309.40

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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.