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Finding the Third Proportional to 31,125 and 40,855

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Solution

The third proportional to 31,125 and 40,855 is: 53,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125 : 40,855 = 40,855 : x
  2. Step 2: Convert to fraction form
    31,125/40,855 = 40,855/x
  3. Step 3: Cross multiply
    31,125x = 40,855 × 40,855
  4. Step 4: Simplify right side
    31,125x = 1,669,131,025
  5. Step 5: Solve for x
    x = 1,669,131,025/31,125
  6. Step 6: Final answer
    x = 53,626.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.