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Finding the Third Proportional to 10,924 and 25,678

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Solution

The third proportional to 10,924 and 25,678 is: 60,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924 : 25,678 = 25,678 : x
  2. Step 2: Convert to fraction form
    10,924/25,678 = 25,678/x
  3. Step 3: Cross multiply
    10,924x = 25,678 × 25,678
  4. Step 4: Simplify right side
    10,924x = 659,359,684
  5. Step 5: Solve for x
    x = 659,359,684/10,924
  6. Step 6: Final answer
    x = 60,358.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.