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Finding the Third Proportional to 140,318 and 214,655

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Solution

The third proportional to 140,318 and 214,655 is: 328,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,318 : 214,655 = 214,655 : x
  2. Step 2: Convert to fraction form
    140,318/214,655 = 214,655/x
  3. Step 3: Cross multiply
    140,318x = 214,655 × 214,655
  4. Step 4: Simplify right side
    140,318x = 46,076,769,025
  5. Step 5: Solve for x
    x = 46,076,769,025/140,318
  6. Step 6: Final answer
    x = 328,373.90

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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.