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Finding the Third Proportional to 31,400 and 47,420

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Solution

The third proportional to 31,400 and 47,420 is: 71,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 47,420 = 47,420 : x
  2. Step 2: Convert to fraction form
    31,400/47,420 = 47,420/x
  3. Step 3: Cross multiply
    31,400x = 47,420 × 47,420
  4. Step 4: Simplify right side
    31,400x = 2,248,656,400
  5. Step 5: Solve for x
    x = 2,248,656,400/31,400
  6. Step 6: Final answer
    x = 71,613.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.