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Finding the Third Proportional to 139,294.88 and 305,291.25

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Solution

The third proportional to 139,294.88 and 305,291.25 is: 669,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,294.88 : 305,291.25 = 305,291.25 : x
  2. Step 2: Convert to fraction form
    139,294.88/305,291.25 = 305,291.25/x
  3. Step 3: Cross multiply
    139,294.88x = 305,291.25 × 305,291.25
  4. Step 4: Simplify right side
    139,294.88x = 93,202,747,326.56
  5. Step 5: Solve for x
    x = 93,202,747,326.56/139,294.88
  6. Step 6: Final answer
    x = 669,103.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.