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Finding the Third Proportional to 212,020.31 and 327,872.81

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Solution

The third proportional to 212,020.31 and 327,872.81 is: 507,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,020.31 : 327,872.81 = 327,872.81 : x
  2. Step 2: Convert to fraction form
    212,020.31/327,872.81 = 327,872.81/x
  3. Step 3: Cross multiply
    212,020.31x = 327,872.81 × 327,872.81
  4. Step 4: Simplify right side
    212,020.31x = 107,500,581,176.66
  5. Step 5: Solve for x
    x = 107,500,581,176.66/212,020.31
  6. Step 6: Final answer
    x = 507,029.63

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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.