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Finding the Third Proportional to 27,288 and 42,057

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Solution

The third proportional to 27,288 and 42,057 is: 64,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288 : 42,057 = 42,057 : x
  2. Step 2: Convert to fraction form
    27,288/42,057 = 42,057/x
  3. Step 3: Cross multiply
    27,288x = 42,057 × 42,057
  4. Step 4: Simplify right side
    27,288x = 1,768,791,249
  5. Step 5: Solve for x
    x = 1,768,791,249/27,288
  6. Step 6: Final answer
    x = 64,819.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.