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Finding the Third Proportional to 212,029.31 and 327,890.53

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Solution

The third proportional to 212,029.31 and 327,890.53 is: 507,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,029.31 : 327,890.53 = 327,890.53 : x
  2. Step 2: Convert to fraction form
    212,029.31/327,890.53 = 327,890.53/x
  3. Step 3: Cross multiply
    212,029.31x = 327,890.53 × 327,890.53
  4. Step 4: Simplify right side
    212,029.31x = 107,512,200,483.41
  5. Step 5: Solve for x
    x = 107,512,200,483.41/212,029.31
  6. Step 6: Final answer
    x = 507,062.91

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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.