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Finding the Third Proportional to 10,855 and 22,979

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Solution

The third proportional to 10,855 and 22,979 is: 48,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855 : 22,979 = 22,979 : x
  2. Step 2: Convert to fraction form
    10,855/22,979 = 22,979/x
  3. Step 3: Cross multiply
    10,855x = 22,979 × 22,979
  4. Step 4: Simplify right side
    10,855x = 528,034,441
  5. Step 5: Solve for x
    x = 528,034,441/10,855
  6. Step 6: Final answer
    x = 48,644.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.