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Finding the Third Proportional to 9,069.75 and 10,689.75

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Solution

The third proportional to 9,069.75 and 10,689.75 is: 12,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.75 : 10,689.75 = 10,689.75 : x
  2. Step 2: Convert to fraction form
    9,069.75/10,689.75 = 10,689.75/x
  3. Step 3: Cross multiply
    9,069.75x = 10,689.75 × 10,689.75
  4. Step 4: Simplify right side
    9,069.75x = 114,270,755.06
  5. Step 5: Solve for x
    x = 114,270,755.06/9,069.75
  6. Step 6: Final answer
    x = 12,599.11

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.