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Finding the Third Proportional to 31,975 and 48,409

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Solution

The third proportional to 31,975 and 48,409 is: 73,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,975 : 48,409 = 48,409 : x
  2. Step 2: Convert to fraction form
    31,975/48,409 = 48,409/x
  3. Step 3: Cross multiply
    31,975x = 48,409 × 48,409
  4. Step 4: Simplify right side
    31,975x = 2,343,431,281
  5. Step 5: Solve for x
    x = 2,343,431,281/31,975
  6. Step 6: Final answer
    x = 73,289.48

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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.