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Finding the Third Proportional to 31,276 and 47,186

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Solution

The third proportional to 31,276 and 47,186 is: 71,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276 : 47,186 = 47,186 : x
  2. Step 2: Convert to fraction form
    31,276/47,186 = 47,186/x
  3. Step 3: Cross multiply
    31,276x = 47,186 × 47,186
  4. Step 4: Simplify right side
    31,276x = 2,226,518,596
  5. Step 5: Solve for x
    x = 2,226,518,596/31,276
  6. Step 6: Final answer
    x = 71,189.37

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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.