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Finding the Third Proportional to 31,539 and 47,440

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Solution

The third proportional to 31,539 and 47,440 is: 71,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539 : 47,440 = 47,440 : x
  2. Step 2: Convert to fraction form
    31,539/47,440 = 47,440/x
  3. Step 3: Cross multiply
    31,539x = 47,440 × 47,440
  4. Step 4: Simplify right side
    31,539x = 2,250,553,600
  5. Step 5: Solve for x
    x = 2,250,553,600/31,539
  6. Step 6: Final answer
    x = 71,357.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.