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Finding the Third Proportional to 410,844 and 631,218

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Solution

The third proportional to 410,844 and 631,218 is: 969,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,844 : 631,218 = 631,218 : x
  2. Step 2: Convert to fraction form
    410,844/631,218 = 631,218/x
  3. Step 3: Cross multiply
    410,844x = 631,218 × 631,218
  4. Step 4: Simplify right side
    410,844x = 398,436,163,524
  5. Step 5: Solve for x
    x = 398,436,163,524/410,844
  6. Step 6: Final answer
    x = 969,799.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.