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Finding the Third Proportional to 31,179 and 40,662.75

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Solution

The third proportional to 31,179 and 40,662.75 is: 53,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179 : 40,662.75 = 40,662.75 : x
  2. Step 2: Convert to fraction form
    31,179/40,662.75 = 40,662.75/x
  3. Step 3: Cross multiply
    31,179x = 40,662.75 × 40,662.75
  4. Step 4: Simplify right side
    31,179x = 1,653,459,237.56
  5. Step 5: Solve for x
    x = 1,653,459,237.56/31,179
  6. Step 6: Final answer
    x = 53,031.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.