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Finding the Third Proportional to 264,906 and 378,329

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Solution

The third proportional to 264,906 and 378,329 is: 540,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 378,329 = 378,329 : x
  2. Step 2: Convert to fraction form
    264,906/378,329 = 378,329/x
  3. Step 3: Cross multiply
    264,906x = 378,329 × 378,329
  4. Step 4: Simplify right side
    264,906x = 143,132,832,241
  5. Step 5: Solve for x
    x = 143,132,832,241/264,906
  6. Step 6: Final answer
    x = 540,315.55

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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.