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Finding the Third Proportional to 27,396 and 42,804

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Solution

The third proportional to 27,396 and 42,804 is: 66,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 42,804 = 42,804 : x
  2. Step 2: Convert to fraction form
    27,396/42,804 = 42,804/x
  3. Step 3: Cross multiply
    27,396x = 42,804 × 42,804
  4. Step 4: Simplify right side
    27,396x = 1,832,182,416
  5. Step 5: Solve for x
    x = 1,832,182,416/27,396
  6. Step 6: Final answer
    x = 66,877.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.