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Finding the Third Proportional to 4,344 and 10,710

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Solution

The third proportional to 4,344 and 10,710 is: 26,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344 : 10,710 = 10,710 : x
  2. Step 2: Convert to fraction form
    4,344/10,710 = 10,710/x
  3. Step 3: Cross multiply
    4,344x = 10,710 × 10,710
  4. Step 4: Simplify right side
    4,344x = 114,704,100
  5. Step 5: Solve for x
    x = 114,704,100/4,344
  6. Step 6: Final answer
    x = 26,405.18

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.