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Finding the Third Proportional to 139,142.25 and 296,277.75

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Solution

The third proportional to 139,142.25 and 296,277.75 is: 630,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,142.25 : 296,277.75 = 296,277.75 : x
  2. Step 2: Convert to fraction form
    139,142.25/296,277.75 = 296,277.75/x
  3. Step 3: Cross multiply
    139,142.25x = 296,277.75 × 296,277.75
  4. Step 4: Simplify right side
    139,142.25x = 87,780,505,145.06
  5. Step 5: Solve for x
    x = 87,780,505,145.06/139,142.25
  6. Step 6: Final answer
    x = 630,868.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.