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Finding the Third Proportional to 7,158 and 16,605

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Solution

The third proportional to 7,158 and 16,605 is: 38,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 16,605 = 16,605 : x
  2. Step 2: Convert to fraction form
    7,158/16,605 = 16,605/x
  3. Step 3: Cross multiply
    7,158x = 16,605 × 16,605
  4. Step 4: Simplify right side
    7,158x = 275,726,025
  5. Step 5: Solve for x
    x = 275,726,025/7,158
  6. Step 6: Final answer
    x = 38,519.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.