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Finding the Third Proportional to 31,884 and 70,057

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Solution

The third proportional to 31,884 and 70,057 is: 153,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884 : 70,057 = 70,057 : x
  2. Step 2: Convert to fraction form
    31,884/70,057 = 70,057/x
  3. Step 3: Cross multiply
    31,884x = 70,057 × 70,057
  4. Step 4: Simplify right side
    31,884x = 4,907,983,249
  5. Step 5: Solve for x
    x = 4,907,983,249/31,884
  6. Step 6: Final answer
    x = 153,932.48

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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.