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Finding the Third Proportional to 136,189.50 and 211,367.25

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Solution

The third proportional to 136,189.50 and 211,367.25 is: 328,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,189.50 : 211,367.25 = 211,367.25 : x
  2. Step 2: Convert to fraction form
    136,189.50/211,367.25 = 211,367.25/x
  3. Step 3: Cross multiply
    136,189.50x = 211,367.25 × 211,367.25
  4. Step 4: Simplify right side
    136,189.50x = 44,676,114,372.56
  5. Step 5: Solve for x
    x = 44,676,114,372.56/136,189.50
  6. Step 6: Final answer
    x = 328,043.75

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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.