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Finding the Third Proportional to 49,101.50 and 78,451.38

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Solution

The third proportional to 49,101.50 and 78,451.38 is: 125,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.50 : 78,451.38 = 78,451.38 : x
  2. Step 2: Convert to fraction form
    49,101.50/78,451.38 = 78,451.38/x
  3. Step 3: Cross multiply
    49,101.50x = 78,451.38 × 78,451.38
  4. Step 4: Simplify right side
    49,101.50x = 6,154,618,239.39
  5. Step 5: Solve for x
    x = 6,154,618,239.39/49,101.50
  6. Step 6: Final answer
    x = 125,344.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.