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Finding the Third Proportional to 10,678 and 15,743

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Solution

The third proportional to 10,678 and 15,743 is: 23,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678 : 15,743 = 15,743 : x
  2. Step 2: Convert to fraction form
    10,678/15,743 = 15,743/x
  3. Step 3: Cross multiply
    10,678x = 15,743 × 15,743
  4. Step 4: Simplify right side
    10,678x = 247,842,049
  5. Step 5: Solve for x
    x = 247,842,049/10,678
  6. Step 6: Final answer
    x = 23,210.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.