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Finding the Third Proportional to 51,478.50 and 80,223.75

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Solution

The third proportional to 51,478.50 and 80,223.75 is: 125,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.50 : 80,223.75 = 80,223.75 : x
  2. Step 2: Convert to fraction form
    51,478.50/80,223.75 = 80,223.75/x
  3. Step 3: Cross multiply
    51,478.50x = 80,223.75 × 80,223.75
  4. Step 4: Simplify right side
    51,478.50x = 6,435,850,064.06
  5. Step 5: Solve for x
    x = 6,435,850,064.06/51,478.50
  6. Step 6: Final answer
    x = 125,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.