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Finding the Third Proportional to 687,690 and 1,493,613

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Solution

The third proportional to 687,690 and 1,493,613 is: 3,244,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,690 : 1,493,613 = 1,493,613 : x
  2. Step 2: Convert to fraction form
    687,690/1,493,613 = 1,493,613/x
  3. Step 3: Cross multiply
    687,690x = 1,493,613 × 1,493,613
  4. Step 4: Simplify right side
    687,690x = 2,230,879,793,769
  5. Step 5: Solve for x
    x = 2,230,879,793,769/687,690
  6. Step 6: Final answer
    x = 3,244,019.53

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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.