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Finding the Third Proportional to 9,181 and 18,905.25

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Solution

The third proportional to 9,181 and 18,905.25 is: 38,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181 : 18,905.25 = 18,905.25 : x
  2. Step 2: Convert to fraction form
    9,181/18,905.25 = 18,905.25/x
  3. Step 3: Cross multiply
    9,181x = 18,905.25 × 18,905.25
  4. Step 4: Simplify right side
    9,181x = 357,408,477.56
  5. Step 5: Solve for x
    x = 357,408,477.56/9,181
  6. Step 6: Final answer
    x = 38,929.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.