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Finding the Third Proportional to 420,786 and 591,867

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Solution

The third proportional to 420,786 and 591,867 is: 832,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,786 : 591,867 = 591,867 : x
  2. Step 2: Convert to fraction form
    420,786/591,867 = 591,867/x
  3. Step 3: Cross multiply
    420,786x = 591,867 × 591,867
  4. Step 4: Simplify right side
    420,786x = 350,306,545,689
  5. Step 5: Solve for x
    x = 350,306,545,689/420,786
  6. Step 6: Final answer
    x = 832,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.