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Finding the Third Proportional to 9,109 and 13,355.50

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Solution

The third proportional to 9,109 and 13,355.50 is: 19,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109 : 13,355.50 = 13,355.50 : x
  2. Step 2: Convert to fraction form
    9,109/13,355.50 = 13,355.50/x
  3. Step 3: Cross multiply
    9,109x = 13,355.50 × 13,355.50
  4. Step 4: Simplify right side
    9,109x = 178,369,380.25
  5. Step 5: Solve for x
    x = 178,369,380.25/9,109
  6. Step 6: Final answer
    x = 19,581.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.