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Finding the Third Proportional to 7,518 and 10,685

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Solution

The third proportional to 7,518 and 10,685 is: 15,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518 : 10,685 = 10,685 : x
  2. Step 2: Convert to fraction form
    7,518/10,685 = 10,685/x
  3. Step 3: Cross multiply
    7,518x = 10,685 × 10,685
  4. Step 4: Simplify right side
    7,518x = 114,169,225
  5. Step 5: Solve for x
    x = 114,169,225/7,518
  6. Step 6: Final answer
    x = 15,186.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.