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Finding the Third Proportional to 31,377.38 and 72,611.44

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Solution

The third proportional to 31,377.38 and 72,611.44 is: 168,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377.38 : 72,611.44 = 72,611.44 : x
  2. Step 2: Convert to fraction form
    31,377.38/72,611.44 = 72,611.44/x
  3. Step 3: Cross multiply
    31,377.38x = 72,611.44 × 72,611.44
  4. Step 4: Simplify right side
    31,377.38x = 5,272,420,855.82
  5. Step 5: Solve for x
    x = 5,272,420,855.82/31,377.38
  6. Step 6: Final answer
    x = 168,032.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.