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Finding the Third Proportional to 4,854.50 and 10,617.56

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Solution

The third proportional to 4,854.50 and 10,617.56 is: 23,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.50 : 10,617.56 = 10,617.56 : x
  2. Step 2: Convert to fraction form
    4,854.50/10,617.56 = 10,617.56/x
  3. Step 3: Cross multiply
    4,854.50x = 10,617.56 × 10,617.56
  4. Step 4: Simplify right side
    4,854.50x = 112,732,633.44
  5. Step 5: Solve for x
    x = 112,732,633.44/4,854.50
  6. Step 6: Final answer
    x = 23,222.30

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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.