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Finding the Third Proportional to 5,291.50 and 11,311

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Solution

The third proportional to 5,291.50 and 11,311 is: 24,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.50 : 11,311 = 11,311 : x
  2. Step 2: Convert to fraction form
    5,291.50/11,311 = 11,311/x
  3. Step 3: Cross multiply
    5,291.50x = 11,311 × 11,311
  4. Step 4: Simplify right side
    5,291.50x = 127,938,721
  5. Step 5: Solve for x
    x = 127,938,721/5,291.50
  6. Step 6: Final answer
    x = 24,178.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.