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Finding the Third Proportional to 687,619 and 1,485,849

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Solution

The third proportional to 687,619 and 1,485,849 is: 3,210,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,619 : 1,485,849 = 1,485,849 : x
  2. Step 2: Convert to fraction form
    687,619/1,485,849 = 1,485,849/x
  3. Step 3: Cross multiply
    687,619x = 1,485,849 × 1,485,849
  4. Step 4: Simplify right side
    687,619x = 2,207,747,250,801
  5. Step 5: Solve for x
    x = 2,207,747,250,801/687,619
  6. Step 6: Final answer
    x = 3,210,712.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.