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Finding the Third Proportional to 4,230.56 and 8,901.56

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Solution

The third proportional to 4,230.56 and 8,901.56 is: 18,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.56 : 8,901.56 = 8,901.56 : x
  2. Step 2: Convert to fraction form
    4,230.56/8,901.56 = 8,901.56/x
  3. Step 3: Cross multiply
    4,230.56x = 8,901.56 × 8,901.56
  4. Step 4: Simplify right side
    4,230.56x = 79,237,814.94
  5. Step 5: Solve for x
    x = 79,237,814.94/4,230.56
  6. Step 6: Final answer
    x = 18,729.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.