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Finding the Third Proportional to 10,555 and 15,289

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Solution

The third proportional to 10,555 and 15,289 is: 22,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555 : 15,289 = 15,289 : x
  2. Step 2: Convert to fraction form
    10,555/15,289 = 15,289/x
  3. Step 3: Cross multiply
    10,555x = 15,289 × 15,289
  4. Step 4: Simplify right side
    10,555x = 233,753,521
  5. Step 5: Solve for x
    x = 233,753,521/10,555
  6. Step 6: Final answer
    x = 22,146.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.