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Finding the Third Proportional to 685,593 and 1,489,122

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Solution

The third proportional to 685,593 and 1,489,122 is: 3,234,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,593 : 1,489,122 = 1,489,122 : x
  2. Step 2: Convert to fraction form
    685,593/1,489,122 = 1,489,122/x
  3. Step 3: Cross multiply
    685,593x = 1,489,122 × 1,489,122
  4. Step 4: Simplify right side
    685,593x = 2,217,484,330,884
  5. Step 5: Solve for x
    x = 2,217,484,330,884/685,593
  6. Step 6: Final answer
    x = 3,234,403.40

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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.