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Finding the Third Proportional to 7,149 and 14,743.50

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Solution

The third proportional to 7,149 and 14,743.50 is: 30,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149 : 14,743.50 = 14,743.50 : x
  2. Step 2: Convert to fraction form
    7,149/14,743.50 = 14,743.50/x
  3. Step 3: Cross multiply
    7,149x = 14,743.50 × 14,743.50
  4. Step 4: Simplify right side
    7,149x = 217,370,792.25
  5. Step 5: Solve for x
    x = 217,370,792.25/7,149
  6. Step 6: Final answer
    x = 30,405.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.