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Finding the Third Proportional to 140,512 and 212,288

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Solution

The third proportional to 140,512 and 212,288 is: 320,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512 : 212,288 = 212,288 : x
  2. Step 2: Convert to fraction form
    140,512/212,288 = 212,288/x
  3. Step 3: Cross multiply
    140,512x = 212,288 × 212,288
  4. Step 4: Simplify right side
    140,512x = 45,066,194,944
  5. Step 5: Solve for x
    x = 45,066,194,944/140,512
  6. Step 6: Final answer
    x = 320,728.44

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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.