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Finding the Third Proportional to 140,015 and 211,035

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Solution

The third proportional to 140,015 and 211,035 is: 318,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,015 : 211,035 = 211,035 : x
  2. Step 2: Convert to fraction form
    140,015/211,035 = 211,035/x
  3. Step 3: Cross multiply
    140,015x = 211,035 × 211,035
  4. Step 4: Simplify right side
    140,015x = 44,535,771,225
  5. Step 5: Solve for x
    x = 44,535,771,225/140,015
  6. Step 6: Final answer
    x = 318,078.57

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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.