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Finding the Third Proportional to 31,318 and 47,969

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Solution

The third proportional to 31,318 and 47,969 is: 73,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318 : 47,969 = 47,969 : x
  2. Step 2: Convert to fraction form
    31,318/47,969 = 47,969/x
  3. Step 3: Cross multiply
    31,318x = 47,969 × 47,969
  4. Step 4: Simplify right side
    31,318x = 2,301,024,961
  5. Step 5: Solve for x
    x = 2,301,024,961/31,318
  6. Step 6: Final answer
    x = 73,472.92

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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.