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Finding the Third Proportional to 136,801.13 and 218,540.67

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Solution

The third proportional to 136,801.13 and 218,540.67 is: 349,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,801.13 : 218,540.67 = 218,540.67 : x
  2. Step 2: Convert to fraction form
    136,801.13/218,540.67 = 218,540.67/x
  3. Step 3: Cross multiply
    136,801.13x = 218,540.67 × 218,540.67
  4. Step 4: Simplify right side
    136,801.13x = 47,760,025,263.58
  5. Step 5: Solve for x
    x = 47,760,025,263.58/136,801.13
  6. Step 6: Final answer
    x = 349,120.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.