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Finding the Third Proportional to 5,120 and 7,243

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Solution

The third proportional to 5,120 and 7,243 is: 10,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120 : 7,243 = 7,243 : x
  2. Step 2: Convert to fraction form
    5,120/7,243 = 7,243/x
  3. Step 3: Cross multiply
    5,120x = 7,243 × 7,243
  4. Step 4: Simplify right side
    5,120x = 52,461,049
  5. Step 5: Solve for x
    x = 52,461,049/5,120
  6. Step 6: Final answer
    x = 10,246.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.