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Finding the Third Proportional to 13,840 and 32,224

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Solution

The third proportional to 13,840 and 32,224 is: 75,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 32,224 = 32,224 : x
  2. Step 2: Convert to fraction form
    13,840/32,224 = 32,224/x
  3. Step 3: Cross multiply
    13,840x = 32,224 × 32,224
  4. Step 4: Simplify right side
    13,840x = 1,038,386,176
  5. Step 5: Solve for x
    x = 1,038,386,176/13,840
  6. Step 6: Final answer
    x = 75,027.90

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.