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Finding the Third Proportional to 55,701 and 128,249.50

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Solution

The third proportional to 55,701 and 128,249.50 is: 295,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,701 : 128,249.50 = 128,249.50 : x
  2. Step 2: Convert to fraction form
    55,701/128,249.50 = 128,249.50/x
  3. Step 3: Cross multiply
    55,701x = 128,249.50 × 128,249.50
  4. Step 4: Simplify right side
    55,701x = 16,447,934,250.25
  5. Step 5: Solve for x
    x = 16,447,934,250.25/55,701
  6. Step 6: Final answer
    x = 295,289.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.