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Finding the Third Proportional to 31,927 and 70,379

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Solution

The third proportional to 31,927 and 70,379 is: 155,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,927 : 70,379 = 70,379 : x
  2. Step 2: Convert to fraction form
    31,927/70,379 = 70,379/x
  3. Step 3: Cross multiply
    31,927x = 70,379 × 70,379
  4. Step 4: Simplify right side
    31,927x = 4,953,203,641
  5. Step 5: Solve for x
    x = 4,953,203,641/31,927
  6. Step 6: Final answer
    x = 155,141.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.