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Finding the Third Proportional to 410,338 and 613,867

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Solution

The third proportional to 410,338 and 613,867 is: 918,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,338 : 613,867 = 613,867 : x
  2. Step 2: Convert to fraction form
    410,338/613,867 = 613,867/x
  3. Step 3: Cross multiply
    410,338x = 613,867 × 613,867
  4. Step 4: Simplify right side
    410,338x = 376,832,693,689
  5. Step 5: Solve for x
    x = 376,832,693,689/410,338
  6. Step 6: Final answer
    x = 918,347.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.