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Finding the Third Proportional to 5,139 and 11,209

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Solution

The third proportional to 5,139 and 11,209 is: 24,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139 : 11,209 = 11,209 : x
  2. Step 2: Convert to fraction form
    5,139/11,209 = 11,209/x
  3. Step 3: Cross multiply
    5,139x = 11,209 × 11,209
  4. Step 4: Simplify right side
    5,139x = 125,641,681
  5. Step 5: Solve for x
    x = 125,641,681/5,139
  6. Step 6: Final answer
    x = 24,448.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.