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Finding the Third Proportional to 31,424 and 67,767.75

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Solution

The third proportional to 31,424 and 67,767.75 is: 146,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424 : 67,767.75 = 67,767.75 : x
  2. Step 2: Convert to fraction form
    31,424/67,767.75 = 67,767.75/x
  3. Step 3: Cross multiply
    31,424x = 67,767.75 × 67,767.75
  4. Step 4: Simplify right side
    31,424x = 4,592,467,940.06
  5. Step 5: Solve for x
    x = 4,592,467,940.06/31,424
  6. Step 6: Final answer
    x = 146,145.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.