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Finding the Third Proportional to 269,408 and 585,408

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Solution

The third proportional to 269,408 and 585,408 is: 1,272,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,408 : 585,408 = 585,408 : x
  2. Step 2: Convert to fraction form
    269,408/585,408 = 585,408/x
  3. Step 3: Cross multiply
    269,408x = 585,408 × 585,408
  4. Step 4: Simplify right side
    269,408x = 342,702,526,464
  5. Step 5: Solve for x
    x = 342,702,526,464/269,408
  6. Step 6: Final answer
    x = 1,272,057.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.