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Finding the Third Proportional to 270,384 and 625,921

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Solution

The third proportional to 270,384 and 625,921 is: 1,448,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,384 : 625,921 = 625,921 : x
  2. Step 2: Convert to fraction form
    270,384/625,921 = 625,921/x
  3. Step 3: Cross multiply
    270,384x = 625,921 × 625,921
  4. Step 4: Simplify right side
    270,384x = 391,777,098,241
  5. Step 5: Solve for x
    x = 391,777,098,241/270,384
  6. Step 6: Final answer
    x = 1,448,965.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.