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Finding the Third Proportional to 31,399 and 47,099

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Solution

The third proportional to 31,399 and 47,099 is: 70,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399 : 47,099 = 47,099 : x
  2. Step 2: Convert to fraction form
    31,399/47,099 = 47,099/x
  3. Step 3: Cross multiply
    31,399x = 47,099 × 47,099
  4. Step 4: Simplify right side
    31,399x = 2,218,315,801
  5. Step 5: Solve for x
    x = 2,218,315,801/31,399
  6. Step 6: Final answer
    x = 70,649.25

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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.