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Finding the Third Proportional to 140,072 and 214,203

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Solution

The third proportional to 140,072 and 214,203 is: 327,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,072 : 214,203 = 214,203 : x
  2. Step 2: Convert to fraction form
    140,072/214,203 = 214,203/x
  3. Step 3: Cross multiply
    140,072x = 214,203 × 214,203
  4. Step 4: Simplify right side
    140,072x = 45,882,925,209
  5. Step 5: Solve for x
    x = 45,882,925,209/140,072
  6. Step 6: Final answer
    x = 327,566.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.