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Finding the Third Proportional to 140,055 and 211,750

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Solution

The third proportional to 140,055 and 211,750 is: 320,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,055 : 211,750 = 211,750 : x
  2. Step 2: Convert to fraction form
    140,055/211,750 = 211,750/x
  3. Step 3: Cross multiply
    140,055x = 211,750 × 211,750
  4. Step 4: Simplify right side
    140,055x = 44,838,062,500
  5. Step 5: Solve for x
    x = 44,838,062,500/140,055
  6. Step 6: Final answer
    x = 320,146.10

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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.