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Finding the Third Proportional to 27,223 and 42,779

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Solution

The third proportional to 27,223 and 42,779 is: 67,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223 : 42,779 = 42,779 : x
  2. Step 2: Convert to fraction form
    27,223/42,779 = 42,779/x
  3. Step 3: Cross multiply
    27,223x = 42,779 × 42,779
  4. Step 4: Simplify right side
    27,223x = 1,830,042,841
  5. Step 5: Solve for x
    x = 1,830,042,841/27,223
  6. Step 6: Final answer
    x = 67,224.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.