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Finding the Third Proportional to 31,010 and 47,571

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Solution

The third proportional to 31,010 and 47,571 is: 72,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010 : 47,571 = 47,571 : x
  2. Step 2: Convert to fraction form
    31,010/47,571 = 47,571/x
  3. Step 3: Cross multiply
    31,010x = 47,571 × 47,571
  4. Step 4: Simplify right side
    31,010x = 2,263,000,041
  5. Step 5: Solve for x
    x = 2,263,000,041/31,010
  6. Step 6: Final answer
    x = 72,976.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.