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Finding the Third Proportional to 31,085 and 47,807

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Solution

The third proportional to 31,085 and 47,807 is: 73,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085 : 47,807 = 47,807 : x
  2. Step 2: Convert to fraction form
    31,085/47,807 = 47,807/x
  3. Step 3: Cross multiply
    31,085x = 47,807 × 47,807
  4. Step 4: Simplify right side
    31,085x = 2,285,509,249
  5. Step 5: Solve for x
    x = 2,285,509,249/31,085
  6. Step 6: Final answer
    x = 73,524.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.