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Finding the Third Proportional to 138,960 and 211,248

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Solution

The third proportional to 138,960 and 211,248 is: 321,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,960 : 211,248 = 211,248 : x
  2. Step 2: Convert to fraction form
    138,960/211,248 = 211,248/x
  3. Step 3: Cross multiply
    138,960x = 211,248 × 211,248
  4. Step 4: Simplify right side
    138,960x = 44,625,717,504
  5. Step 5: Solve for x
    x = 44,625,717,504/138,960
  6. Step 6: Final answer
    x = 321,140.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.