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Finding the Third Proportional to 140,157 and 211,911

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Solution

The third proportional to 140,157 and 211,911 is: 320,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157 : 211,911 = 211,911 : x
  2. Step 2: Convert to fraction form
    140,157/211,911 = 211,911/x
  3. Step 3: Cross multiply
    140,157x = 211,911 × 211,911
  4. Step 4: Simplify right side
    140,157x = 44,906,271,921
  5. Step 5: Solve for x
    x = 44,906,271,921/140,157
  6. Step 6: Final answer
    x = 320,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.