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Finding the Third Proportional to 51,048 and 108,157.50

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Solution

The third proportional to 51,048 and 108,157.50 is: 229,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048 : 108,157.50 = 108,157.50 : x
  2. Step 2: Convert to fraction form
    51,048/108,157.50 = 108,157.50/x
  3. Step 3: Cross multiply
    51,048x = 108,157.50 × 108,157.50
  4. Step 4: Simplify right side
    51,048x = 11,698,044,806.25
  5. Step 5: Solve for x
    x = 11,698,044,806.25/51,048
  6. Step 6: Final answer
    x = 229,157.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.