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Finding the Third Proportional to 218,487.38 and 295,194.38

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Solution

The third proportional to 218,487.38 and 295,194.38 is: 398,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,487.38 : 295,194.38 = 295,194.38 : x
  2. Step 2: Convert to fraction form
    218,487.38/295,194.38 = 295,194.38/x
  3. Step 3: Cross multiply
    218,487.38x = 295,194.38 × 295,194.38
  4. Step 4: Simplify right side
    218,487.38x = 87,139,719,031.64
  5. Step 5: Solve for x
    x = 87,139,719,031.64/218,487.38
  6. Step 6: Final answer
    x = 398,831.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.