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Finding the Third Proportional to 10,209 and 11,829

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Solution

The third proportional to 10,209 and 11,829 is: 13,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209 : 11,829 = 11,829 : x
  2. Step 2: Convert to fraction form
    10,209/11,829 = 11,829/x
  3. Step 3: Cross multiply
    10,209x = 11,829 × 11,829
  4. Step 4: Simplify right side
    10,209x = 139,925,241
  5. Step 5: Solve for x
    x = 139,925,241/10,209
  6. Step 6: Final answer
    x = 13,706.07

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.