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Finding the Third Proportional to 8,540 and 15,316

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Solution

The third proportional to 8,540 and 15,316 is: 27,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540 : 15,316 = 15,316 : x
  2. Step 2: Convert to fraction form
    8,540/15,316 = 15,316/x
  3. Step 3: Cross multiply
    8,540x = 15,316 × 15,316
  4. Step 4: Simplify right side
    8,540x = 234,579,856
  5. Step 5: Solve for x
    x = 234,579,856/8,540
  6. Step 6: Final answer
    x = 27,468.37

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.