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Finding the Third Proportional to 5,138.60 and 6,637.89

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Solution

The third proportional to 5,138.60 and 6,637.89 is: 8,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.60 : 6,637.89 = 6,637.89 : x
  2. Step 2: Convert to fraction form
    5,138.60/6,637.89 = 6,637.89/x
  3. Step 3: Cross multiply
    5,138.60x = 6,637.89 × 6,637.89
  4. Step 4: Simplify right side
    5,138.60x = 44,061,540.09
  5. Step 5: Solve for x
    x = 44,061,540.09/5,138.60
  6. Step 6: Final answer
    x = 8,574.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.