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Finding the Third Proportional to 5,406 and 12,711.75

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Solution

The third proportional to 5,406 and 12,711.75 is: 29,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 12,711.75 = 12,711.75 : x
  2. Step 2: Convert to fraction form
    5,406/12,711.75 = 12,711.75/x
  3. Step 3: Cross multiply
    5,406x = 12,711.75 × 12,711.75
  4. Step 4: Simplify right side
    5,406x = 161,588,588.06
  5. Step 5: Solve for x
    x = 161,588,588.06/5,406
  6. Step 6: Final answer
    x = 29,890.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.