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Finding the Third Proportional to 10,840 and 12,232

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Solution

The third proportional to 10,840 and 12,232 is: 13,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840 : 12,232 = 12,232 : x
  2. Step 2: Convert to fraction form
    10,840/12,232 = 12,232/x
  3. Step 3: Cross multiply
    10,840x = 12,232 × 12,232
  4. Step 4: Simplify right side
    10,840x = 149,621,824
  5. Step 5: Solve for x
    x = 149,621,824/10,840
  6. Step 6: Final answer
    x = 13,802.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.