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Finding the Third Proportional to 31,858 and 47,867

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Solution

The third proportional to 31,858 and 47,867 is: 71,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858 : 47,867 = 47,867 : x
  2. Step 2: Convert to fraction form
    31,858/47,867 = 47,867/x
  3. Step 3: Cross multiply
    31,858x = 47,867 × 47,867
  4. Step 4: Simplify right side
    31,858x = 2,291,249,689
  5. Step 5: Solve for x
    x = 2,291,249,689/31,858
  6. Step 6: Final answer
    x = 71,920.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.