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Finding the Third Proportional to 386,916 and 591,822

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Solution

The third proportional to 386,916 and 591,822 is: 905,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,916 : 591,822 = 591,822 : x
  2. Step 2: Convert to fraction form
    386,916/591,822 = 591,822/x
  3. Step 3: Cross multiply
    386,916x = 591,822 × 591,822
  4. Step 4: Simplify right side
    386,916x = 350,253,279,684
  5. Step 5: Solve for x
    x = 350,253,279,684/386,916
  6. Step 6: Final answer
    x = 905,243.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.