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Finding the Third Proportional to 136,147.50 and 211,680

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Solution

The third proportional to 136,147.50 and 211,680 is: 329,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,147.50 : 211,680 = 211,680 : x
  2. Step 2: Convert to fraction form
    136,147.50/211,680 = 211,680/x
  3. Step 3: Cross multiply
    136,147.50x = 211,680 × 211,680
  4. Step 4: Simplify right side
    136,147.50x = 44,808,422,400
  5. Step 5: Solve for x
    x = 44,808,422,400/136,147.50
  6. Step 6: Final answer
    x = 329,116.75

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