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Finding the Third Proportional to 269,990 and 625,031

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Solution

The third proportional to 269,990 and 625,031 is: 1,446,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,990 : 625,031 = 625,031 : x
  2. Step 2: Convert to fraction form
    269,990/625,031 = 625,031/x
  3. Step 3: Cross multiply
    269,990x = 625,031 × 625,031
  4. Step 4: Simplify right side
    269,990x = 390,663,750,961
  5. Step 5: Solve for x
    x = 390,663,750,961/269,990
  6. Step 6: Final answer
    x = 1,446,956.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.