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Finding the Third Proportional to 11,512 and 17,776

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Solution

The third proportional to 11,512 and 17,776 is: 27,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512 : 17,776 = 17,776 : x
  2. Step 2: Convert to fraction form
    11,512/17,776 = 17,776/x
  3. Step 3: Cross multiply
    11,512x = 17,776 × 17,776
  4. Step 4: Simplify right side
    11,512x = 315,986,176
  5. Step 5: Solve for x
    x = 315,986,176/11,512
  6. Step 6: Final answer
    x = 27,448.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.