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Finding the Third Proportional to 65,184 and 135,264

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Solution

The third proportional to 65,184 and 135,264 is: 280,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184 : 135,264 = 135,264 : x
  2. Step 2: Convert to fraction form
    65,184/135,264 = 135,264/x
  3. Step 3: Cross multiply
    65,184x = 135,264 × 135,264
  4. Step 4: Simplify right side
    65,184x = 18,296,349,696
  5. Step 5: Solve for x
    x = 18,296,349,696/65,184
  6. Step 6: Final answer
    x = 280,687.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.