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Finding the Third Proportional to 136,017 and 211,322

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Solution

The third proportional to 136,017 and 211,322 is: 328,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,017 : 211,322 = 211,322 : x
  2. Step 2: Convert to fraction form
    136,017/211,322 = 211,322/x
  3. Step 3: Cross multiply
    136,017x = 211,322 × 211,322
  4. Step 4: Simplify right side
    136,017x = 44,656,987,684
  5. Step 5: Solve for x
    x = 44,656,987,684/136,017
  6. Step 6: Final answer
    x = 328,319.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.