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Finding the Third Proportional to 31,980 and 47,975

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Solution

The third proportional to 31,980 and 47,975 is: 71,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980 : 47,975 = 47,975 : x
  2. Step 2: Convert to fraction form
    31,980/47,975 = 47,975/x
  3. Step 3: Cross multiply
    31,980x = 47,975 × 47,975
  4. Step 4: Simplify right side
    31,980x = 2,301,600,625
  5. Step 5: Solve for x
    x = 2,301,600,625/31,980
  6. Step 6: Final answer
    x = 71,970.00

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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.