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Finding the Third Proportional to 218,466.28 and 339,040.69

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Solution

The third proportional to 218,466.28 and 339,040.69 is: 526,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,466.28 : 339,040.69 = 339,040.69 : x
  2. Step 2: Convert to fraction form
    218,466.28/339,040.69 = 339,040.69/x
  3. Step 3: Cross multiply
    218,466.28x = 339,040.69 × 339,040.69
  4. Step 4: Simplify right side
    218,466.28x = 114,948,587,780.47
  5. Step 5: Solve for x
    x = 114,948,587,780.47/218,466.28
  6. Step 6: Final answer
    x = 526,161.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.