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Finding the Third Proportional to 31,489 and 47,476

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Solution

The third proportional to 31,489 and 47,476 is: 71,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489 : 47,476 = 47,476 : x
  2. Step 2: Convert to fraction form
    31,489/47,476 = 47,476/x
  3. Step 3: Cross multiply
    31,489x = 47,476 × 47,476
  4. Step 4: Simplify right side
    31,489x = 2,253,970,576
  5. Step 5: Solve for x
    x = 2,253,970,576/31,489
  6. Step 6: Final answer
    x = 71,579.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.