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Finding the Third Proportional to 310,444 and 681,849

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Solution

The third proportional to 310,444 and 681,849 is: 1,497,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,444 : 681,849 = 681,849 : x
  2. Step 2: Convert to fraction form
    310,444/681,849 = 681,849/x
  3. Step 3: Cross multiply
    310,444x = 681,849 × 681,849
  4. Step 4: Simplify right side
    310,444x = 464,918,058,801
  5. Step 5: Solve for x
    x = 464,918,058,801/310,444
  6. Step 6: Final answer
    x = 1,497,590.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.