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Finding the Third Proportional to 31,380 and 47,806

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Solution

The third proportional to 31,380 and 47,806 is: 72,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380 : 47,806 = 47,806 : x
  2. Step 2: Convert to fraction form
    31,380/47,806 = 47,806/x
  3. Step 3: Cross multiply
    31,380x = 47,806 × 47,806
  4. Step 4: Simplify right side
    31,380x = 2,285,413,636
  5. Step 5: Solve for x
    x = 2,285,413,636/31,380
  6. Step 6: Final answer
    x = 72,830.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.