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Finding the Third Proportional to 2,318 and 5,642

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Solution

The third proportional to 2,318 and 5,642 is: 13,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318 : 5,642 = 5,642 : x
  2. Step 2: Convert to fraction form
    2,318/5,642 = 5,642/x
  3. Step 3: Cross multiply
    2,318x = 5,642 × 5,642
  4. Step 4: Simplify right side
    2,318x = 31,832,164
  5. Step 5: Solve for x
    x = 31,832,164/2,318
  6. Step 6: Final answer
    x = 13,732.60

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.