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Finding the Third Proportional to 7,406 and 18,143

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Solution

The third proportional to 7,406 and 18,143 is: 44,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406 : 18,143 = 18,143 : x
  2. Step 2: Convert to fraction form
    7,406/18,143 = 18,143/x
  3. Step 3: Cross multiply
    7,406x = 18,143 × 18,143
  4. Step 4: Simplify right side
    7,406x = 329,168,449
  5. Step 5: Solve for x
    x = 329,168,449/7,406
  6. Step 6: Final answer
    x = 44,446.19

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.