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Finding the Third Proportional to 9,191.25 and 13,750.13

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Solution

The third proportional to 9,191.25 and 13,750.13 is: 20,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.25 : 13,750.13 = 13,750.13 : x
  2. Step 2: Convert to fraction form
    9,191.25/13,750.13 = 13,750.13/x
  3. Step 3: Cross multiply
    9,191.25x = 13,750.13 × 13,750.13
  4. Step 4: Simplify right side
    9,191.25x = 189,065,937.52
  5. Step 5: Solve for x
    x = 189,065,937.52/9,191.25
  6. Step 6: Final answer
    x = 20,570.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.