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Finding the Third Proportional to 27,623 and 42,868

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Solution

The third proportional to 27,623 and 42,868 is: 66,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,623 : 42,868 = 42,868 : x
  2. Step 2: Convert to fraction form
    27,623/42,868 = 42,868/x
  3. Step 3: Cross multiply
    27,623x = 42,868 × 42,868
  4. Step 4: Simplify right side
    27,623x = 1,837,665,424
  5. Step 5: Solve for x
    x = 1,837,665,424/27,623
  6. Step 6: Final answer
    x = 66,526.64

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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.