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Finding the Third Proportional to 40,605,867 and 87,683,613.75

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Solution

The third proportional to 40,605,867 and 87,683,613.75 is: 189,342,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,605,867 : 87,683,613.75 = 87,683,613.75 : x
  2. Step 2: Convert to fraction form
    40,605,867/87,683,613.75 = 87,683,613.75/x
  3. Step 3: Cross multiply
    40,605,867x = 87,683,613.75 × 87,683,613.75
  4. Step 4: Simplify right side
    40,605,867x = 7,688,416,120,259,189
  5. Step 5: Solve for x
    x = 7,688,416,120,259,189/40,605,867
  6. Step 6: Final answer
    x = 189,342,493.79

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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.