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Finding the Third Proportional to 27,846 and 43,139

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Solution

The third proportional to 27,846 and 43,139 is: 66,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 43,139 = 43,139 : x
  2. Step 2: Convert to fraction form
    27,846/43,139 = 43,139/x
  3. Step 3: Cross multiply
    27,846x = 43,139 × 43,139
  4. Step 4: Simplify right side
    27,846x = 1,860,973,321
  5. Step 5: Solve for x
    x = 1,860,973,321/27,846
  6. Step 6: Final answer
    x = 66,830.90

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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.