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Finding the Third Proportional to 51,625 and 75,925.50

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Solution

The third proportional to 51,625 and 75,925.50 is: 111,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,625 : 75,925.50 = 75,925.50 : x
  2. Step 2: Convert to fraction form
    51,625/75,925.50 = 75,925.50/x
  3. Step 3: Cross multiply
    51,625x = 75,925.50 × 75,925.50
  4. Step 4: Simplify right side
    51,625x = 5,764,681,550.25
  5. Step 5: Solve for x
    x = 5,764,681,550.25/51,625
  6. Step 6: Final answer
    x = 111,664.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.