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Finding the Third Proportional to 20,376 and 31,752

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Solution

The third proportional to 20,376 and 31,752 is: 49,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376 : 31,752 = 31,752 : x
  2. Step 2: Convert to fraction form
    20,376/31,752 = 31,752/x
  3. Step 3: Cross multiply
    20,376x = 31,752 × 31,752
  4. Step 4: Simplify right side
    20,376x = 1,008,189,504
  5. Step 5: Solve for x
    x = 1,008,189,504/20,376
  6. Step 6: Final answer
    x = 49,479.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.