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Finding the Third Proportional to 31,725 and 68,919.75

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Solution

The third proportional to 31,725 and 68,919.75 is: 149,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725 : 68,919.75 = 68,919.75 : x
  2. Step 2: Convert to fraction form
    31,725/68,919.75 = 68,919.75/x
  3. Step 3: Cross multiply
    31,725x = 68,919.75 × 68,919.75
  4. Step 4: Simplify right side
    31,725x = 4,749,931,940.06
  5. Step 5: Solve for x
    x = 4,749,931,940.06/31,725
  6. Step 6: Final answer
    x = 149,722.05

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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.