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Finding the Third Proportional to 7,238 and 11,289

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Solution

The third proportional to 7,238 and 11,289 is: 17,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238 : 11,289 = 11,289 : x
  2. Step 2: Convert to fraction form
    7,238/11,289 = 11,289/x
  3. Step 3: Cross multiply
    7,238x = 11,289 × 11,289
  4. Step 4: Simplify right side
    7,238x = 127,441,521
  5. Step 5: Solve for x
    x = 127,441,521/7,238
  6. Step 6: Final answer
    x = 17,607.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.