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Finding the Third Proportional to 20,516 and 31,376

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Solution

The third proportional to 20,516 and 31,376 is: 47,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 31,376 = 31,376 : x
  2. Step 2: Convert to fraction form
    20,516/31,376 = 31,376/x
  3. Step 3: Cross multiply
    20,516x = 31,376 × 31,376
  4. Step 4: Simplify right side
    20,516x = 984,453,376
  5. Step 5: Solve for x
    x = 984,453,376/20,516
  6. Step 6: Final answer
    x = 47,984.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.