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Finding the Third Proportional to 322,478 and 671,422

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Solution

The third proportional to 322,478 and 671,422 is: 1,397,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,478 : 671,422 = 671,422 : x
  2. Step 2: Convert to fraction form
    322,478/671,422 = 671,422/x
  3. Step 3: Cross multiply
    322,478x = 671,422 × 671,422
  4. Step 4: Simplify right side
    322,478x = 450,807,502,084
  5. Step 5: Solve for x
    x = 450,807,502,084/322,478
  6. Step 6: Final answer
    x = 1,397,948.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.