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Finding the Third Proportional to 264,013 and 378,331

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Solution

The third proportional to 264,013 and 378,331 is: 542,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,013 : 378,331 = 378,331 : x
  2. Step 2: Convert to fraction form
    264,013/378,331 = 378,331/x
  3. Step 3: Cross multiply
    264,013x = 378,331 × 378,331
  4. Step 4: Simplify right side
    264,013x = 143,134,345,561
  5. Step 5: Solve for x
    x = 143,134,345,561/264,013
  6. Step 6: Final answer
    x = 542,148.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.