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Finding the Third Proportional to 4,930.88 and 10,613.53

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Solution

The third proportional to 4,930.88 and 10,613.53 is: 22,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.88 : 10,613.53 = 10,613.53 : x
  2. Step 2: Convert to fraction form
    4,930.88/10,613.53 = 10,613.53/x
  3. Step 3: Cross multiply
    4,930.88x = 10,613.53 × 10,613.53
  4. Step 4: Simplify right side
    4,930.88x = 112,647,045.59
  5. Step 5: Solve for x
    x = 112,647,045.59/4,930.88
  6. Step 6: Final answer
    x = 22,845.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.