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Finding the Third Proportional to 6,036.75 and 11,209.50

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Solution

The third proportional to 6,036.75 and 11,209.50 is: 20,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.75 : 11,209.50 = 11,209.50 : x
  2. Step 2: Convert to fraction form
    6,036.75/11,209.50 = 11,209.50/x
  3. Step 3: Cross multiply
    6,036.75x = 11,209.50 × 11,209.50
  4. Step 4: Simplify right side
    6,036.75x = 125,652,890.25
  5. Step 5: Solve for x
    x = 125,652,890.25/6,036.75
  6. Step 6: Final answer
    x = 20,814.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.