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Finding the Third Proportional to 27,216 and 42,408

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Solution

The third proportional to 27,216 and 42,408 is: 66,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 42,408 = 42,408 : x
  2. Step 2: Convert to fraction form
    27,216/42,408 = 42,408/x
  3. Step 3: Cross multiply
    27,216x = 42,408 × 42,408
  4. Step 4: Simplify right side
    27,216x = 1,798,438,464
  5. Step 5: Solve for x
    x = 1,798,438,464/27,216
  6. Step 6: Final answer
    x = 66,080.19

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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.