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Finding the Third Proportional to 25,920 and 40,212

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Solution

The third proportional to 25,920 and 40,212 is: 62,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920 : 40,212 = 40,212 : x
  2. Step 2: Convert to fraction form
    25,920/40,212 = 40,212/x
  3. Step 3: Cross multiply
    25,920x = 40,212 × 40,212
  4. Step 4: Simplify right side
    25,920x = 1,617,004,944
  5. Step 5: Solve for x
    x = 1,617,004,944/25,920
  6. Step 6: Final answer
    x = 62,384.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.