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Finding the Third Proportional to 5,117.77 and 12,383.57

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Solution

The third proportional to 5,117.77 and 12,383.57 is: 29,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.77 : 12,383.57 = 12,383.57 : x
  2. Step 2: Convert to fraction form
    5,117.77/12,383.57 = 12,383.57/x
  3. Step 3: Cross multiply
    5,117.77x = 12,383.57 × 12,383.57
  4. Step 4: Simplify right side
    5,117.77x = 153,352,735.08
  5. Step 5: Solve for x
    x = 153,352,735.08/5,117.77
  6. Step 6: Final answer
    x = 29,964.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.