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Finding the Third Proportional to 140,150 and 217,595

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Solution

The third proportional to 140,150 and 217,595 is: 337,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,150 : 217,595 = 217,595 : x
  2. Step 2: Convert to fraction form
    140,150/217,595 = 217,595/x
  3. Step 3: Cross multiply
    140,150x = 217,595 × 217,595
  4. Step 4: Simplify right side
    140,150x = 47,347,584,025
  5. Step 5: Solve for x
    x = 47,347,584,025/140,150
  6. Step 6: Final answer
    x = 337,835.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.