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Finding the Third Proportional to 27,815 and 43,073

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Solution

The third proportional to 27,815 and 43,073 is: 66,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815 : 43,073 = 43,073 : x
  2. Step 2: Convert to fraction form
    27,815/43,073 = 43,073/x
  3. Step 3: Cross multiply
    27,815x = 43,073 × 43,073
  4. Step 4: Simplify right side
    27,815x = 1,855,283,329
  5. Step 5: Solve for x
    x = 1,855,283,329/27,815
  6. Step 6: Final answer
    x = 66,700.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.