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Finding the Third Proportional to 151,419.38 and 212,321.25

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Solution

The third proportional to 151,419.38 and 212,321.25 is: 297,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,419.38 : 212,321.25 = 212,321.25 : x
  2. Step 2: Convert to fraction form
    151,419.38/212,321.25 = 212,321.25/x
  3. Step 3: Cross multiply
    151,419.38x = 212,321.25 × 212,321.25
  4. Step 4: Simplify right side
    151,419.38x = 45,080,313,201.56
  5. Step 5: Solve for x
    x = 45,080,313,201.56/151,419.38
  6. Step 6: Final answer
    x = 297,718.26

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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.