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Finding the Third Proportional to 625,849 and 1,281,449

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Solution

The third proportional to 625,849 and 1,281,449 is: 2,623,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,849 : 1,281,449 = 1,281,449 : x
  2. Step 2: Convert to fraction form
    625,849/1,281,449 = 1,281,449/x
  3. Step 3: Cross multiply
    625,849x = 1,281,449 × 1,281,449
  4. Step 4: Simplify right side
    625,849x = 1,642,111,539,601
  5. Step 5: Solve for x
    x = 1,642,111,539,601/625,849
  6. Step 6: Final answer
    x = 2,623,814.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.