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Finding the Third Proportional to 135,257 and 211,074

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Solution

The third proportional to 135,257 and 211,074 is: 329,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,257 : 211,074 = 211,074 : x
  2. Step 2: Convert to fraction form
    135,257/211,074 = 211,074/x
  3. Step 3: Cross multiply
    135,257x = 211,074 × 211,074
  4. Step 4: Simplify right side
    135,257x = 44,552,233,476
  5. Step 5: Solve for x
    x = 44,552,233,476/135,257
  6. Step 6: Final answer
    x = 329,389.48

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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.