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Finding the Third Proportional to 6,387.75 and 13,542.75

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Solution

The third proportional to 6,387.75 and 13,542.75 is: 28,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.75 : 13,542.75 = 13,542.75 : x
  2. Step 2: Convert to fraction form
    6,387.75/13,542.75 = 13,542.75/x
  3. Step 3: Cross multiply
    6,387.75x = 13,542.75 × 13,542.75
  4. Step 4: Simplify right side
    6,387.75x = 183,406,077.56
  5. Step 5: Solve for x
    x = 183,406,077.56/6,387.75
  6. Step 6: Final answer
    x = 28,712.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.