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Finding the Third Proportional to 31,795 and 69,057

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Solution

The third proportional to 31,795 and 69,057 is: 149,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795 : 69,057 = 69,057 : x
  2. Step 2: Convert to fraction form
    31,795/69,057 = 69,057/x
  3. Step 3: Cross multiply
    31,795x = 69,057 × 69,057
  4. Step 4: Simplify right side
    31,795x = 4,768,869,249
  5. Step 5: Solve for x
    x = 4,768,869,249/31,795
  6. Step 6: Final answer
    x = 149,988.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.