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Finding the Third Proportional to 31,888.05 and 66,398.80

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Solution

The third proportional to 31,888.05 and 66,398.80 is: 138,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.05 : 66,398.80 = 66,398.80 : x
  2. Step 2: Convert to fraction form
    31,888.05/66,398.80 = 66,398.80/x
  3. Step 3: Cross multiply
    31,888.05x = 66,398.80 × 66,398.80
  4. Step 4: Simplify right side
    31,888.05x = 4,408,800,745.19
  5. Step 5: Solve for x
    x = 4,408,800,745.19/31,888.05
  6. Step 6: Final answer
    x = 138,258.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.