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Finding the Third Proportional to 138,960 and 271,008

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Solution

The third proportional to 138,960 and 271,008 is: 528,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,960 : 271,008 = 271,008 : x
  2. Step 2: Convert to fraction form
    138,960/271,008 = 271,008/x
  3. Step 3: Cross multiply
    138,960x = 271,008 × 271,008
  4. Step 4: Simplify right side
    138,960x = 73,445,336,064
  5. Step 5: Solve for x
    x = 73,445,336,064/138,960
  6. Step 6: Final answer
    x = 528,535.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.