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Finding the Third Proportional to 5,911.88 and 12,975.38

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Solution

The third proportional to 5,911.88 and 12,975.38 is: 28,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.88 : 12,975.38 = 12,975.38 : x
  2. Step 2: Convert to fraction form
    5,911.88/12,975.38 = 12,975.38/x
  3. Step 3: Cross multiply
    5,911.88x = 12,975.38 × 12,975.38
  4. Step 4: Simplify right side
    5,911.88x = 168,360,356.39
  5. Step 5: Solve for x
    x = 168,360,356.39/5,911.88
  6. Step 6: Final answer
    x = 28,478.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.