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Finding the Third Proportional to 4,002.56 and 8,697.28

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Solution

The third proportional to 4,002.56 and 8,697.28 is: 18,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.56 : 8,697.28 = 8,697.28 : x
  2. Step 2: Convert to fraction form
    4,002.56/8,697.28 = 8,697.28/x
  3. Step 3: Cross multiply
    4,002.56x = 8,697.28 × 8,697.28
  4. Step 4: Simplify right side
    4,002.56x = 75,642,701.14
  5. Step 5: Solve for x
    x = 75,642,701.14/4,002.56
  6. Step 6: Final answer
    x = 18,898.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.