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Finding the Third Proportional to 56,067 and 66,307

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Solution

The third proportional to 56,067 and 66,307 is: 78,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,067 : 66,307 = 66,307 : x
  2. Step 2: Convert to fraction form
    56,067/66,307 = 66,307/x
  3. Step 3: Cross multiply
    56,067x = 66,307 × 66,307
  4. Step 4: Simplify right side
    56,067x = 4,396,618,249
  5. Step 5: Solve for x
    x = 4,396,618,249/56,067
  6. Step 6: Final answer
    x = 78,417.22

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.