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Finding the Third Proportional to 31,000.50 and 48,120.75

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Solution

The third proportional to 31,000.50 and 48,120.75 is: 74,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.50 : 48,120.75 = 48,120.75 : x
  2. Step 2: Convert to fraction form
    31,000.50/48,120.75 = 48,120.75/x
  3. Step 3: Cross multiply
    31,000.50x = 48,120.75 × 48,120.75
  4. Step 4: Simplify right side
    31,000.50x = 2,315,606,580.56
  5. Step 5: Solve for x
    x = 2,315,606,580.56/31,000.50
  6. Step 6: Final answer
    x = 74,695.78

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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.