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Finding the Third Proportional to 31,220 and 47,873

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Solution

The third proportional to 31,220 and 47,873 is: 73,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220 : 47,873 = 47,873 : x
  2. Step 2: Convert to fraction form
    31,220/47,873 = 47,873/x
  3. Step 3: Cross multiply
    31,220x = 47,873 × 47,873
  4. Step 4: Simplify right side
    31,220x = 2,291,824,129
  5. Step 5: Solve for x
    x = 2,291,824,129/31,220
  6. Step 6: Final answer
    x = 73,408.84

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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.