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Finding the Third Proportional to 7,870 and 11,238

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Solution

The third proportional to 7,870 and 11,238 is: 16,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870 : 11,238 = 11,238 : x
  2. Step 2: Convert to fraction form
    7,870/11,238 = 11,238/x
  3. Step 3: Cross multiply
    7,870x = 11,238 × 11,238
  4. Step 4: Simplify right side
    7,870x = 126,292,644
  5. Step 5: Solve for x
    x = 126,292,644/7,870
  6. Step 6: Final answer
    x = 16,047.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.