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Finding the Third Proportional to 142,231 and 214,247

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Solution

The third proportional to 142,231 and 214,247 is: 322,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,231 : 214,247 = 214,247 : x
  2. Step 2: Convert to fraction form
    142,231/214,247 = 214,247/x
  3. Step 3: Cross multiply
    142,231x = 214,247 × 214,247
  4. Step 4: Simplify right side
    142,231x = 45,901,777,009
  5. Step 5: Solve for x
    x = 45,901,777,009/142,231
  6. Step 6: Final answer
    x = 322,726.95

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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.