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Finding the Third Proportional to 31,030 and 47,950

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Solution

The third proportional to 31,030 and 47,950 is: 74,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030 : 47,950 = 47,950 : x
  2. Step 2: Convert to fraction form
    31,030/47,950 = 47,950/x
  3. Step 3: Cross multiply
    31,030x = 47,950 × 47,950
  4. Step 4: Simplify right side
    31,030x = 2,299,202,500
  5. Step 5: Solve for x
    x = 2,299,202,500/31,030
  6. Step 6: Final answer
    x = 74,096.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.