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Finding the Third Proportional to 420,788 and 591,868

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Solution

The third proportional to 420,788 and 591,868 is: 832,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,788 : 591,868 = 591,868 : x
  2. Step 2: Convert to fraction form
    420,788/591,868 = 591,868/x
  3. Step 3: Cross multiply
    420,788x = 591,868 × 591,868
  4. Step 4: Simplify right side
    420,788x = 350,307,729,424
  5. Step 5: Solve for x
    x = 350,307,729,424/420,788
  6. Step 6: Final answer
    x = 832,504.09

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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.