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Finding the Third Proportional to 13,069.69 and 15,135.19

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Solution

The third proportional to 13,069.69 and 15,135.19 is: 17,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.69 : 15,135.19 = 15,135.19 : x
  2. Step 2: Convert to fraction form
    13,069.69/15,135.19 = 15,135.19/x
  3. Step 3: Cross multiply
    13,069.69x = 15,135.19 × 15,135.19
  4. Step 4: Simplify right side
    13,069.69x = 229,073,900.66
  5. Step 5: Solve for x
    x = 229,073,900.66/13,069.69
  6. Step 6: Final answer
    x = 17,527.11

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.