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Finding the Third Proportional to 151,331 and 212,086

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Solution

The third proportional to 151,331 and 212,086 is: 297,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,331 : 212,086 = 212,086 : x
  2. Step 2: Convert to fraction form
    151,331/212,086 = 212,086/x
  3. Step 3: Cross multiply
    151,331x = 212,086 × 212,086
  4. Step 4: Simplify right side
    151,331x = 44,980,471,396
  5. Step 5: Solve for x
    x = 44,980,471,396/151,331
  6. Step 6: Final answer
    x = 297,232.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.