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Finding the Third Proportional to 27,838 and 61,678

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Solution

The third proportional to 27,838 and 61,678 is: 136,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838 : 61,678 = 61,678 : x
  2. Step 2: Convert to fraction form
    27,838/61,678 = 61,678/x
  3. Step 3: Cross multiply
    27,838x = 61,678 × 61,678
  4. Step 4: Simplify right side
    27,838x = 3,804,175,684
  5. Step 5: Solve for x
    x = 3,804,175,684/27,838
  6. Step 6: Final answer
    x = 136,654.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.