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Finding the Third Proportional to 410,343 and 613,874

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Solution

The third proportional to 410,343 and 613,874 is: 918,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,343 : 613,874 = 613,874 : x
  2. Step 2: Convert to fraction form
    410,343/613,874 = 613,874/x
  3. Step 3: Cross multiply
    410,343x = 613,874 × 613,874
  4. Step 4: Simplify right side
    410,343x = 376,841,287,876
  5. Step 5: Solve for x
    x = 376,841,287,876/410,343
  6. Step 6: Final answer
    x = 918,356.81

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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.