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Finding the Third Proportional to 27,817 and 61,639

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Solution

The third proportional to 27,817 and 61,639 is: 136,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817 : 61,639 = 61,639 : x
  2. Step 2: Convert to fraction form
    27,817/61,639 = 61,639/x
  3. Step 3: Cross multiply
    27,817x = 61,639 × 61,639
  4. Step 4: Simplify right side
    27,817x = 3,799,366,321
  5. Step 5: Solve for x
    x = 3,799,366,321/27,817
  6. Step 6: Final answer
    x = 136,584.33

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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.