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Finding the Third Proportional to 173,488 and 378,413

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Solution

The third proportional to 173,488 and 378,413 is: 825,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,488 : 378,413 = 378,413 : x
  2. Step 2: Convert to fraction form
    173,488/378,413 = 378,413/x
  3. Step 3: Cross multiply
    173,488x = 378,413 × 378,413
  4. Step 4: Simplify right side
    173,488x = 143,196,398,569
  5. Step 5: Solve for x
    x = 143,196,398,569/173,488
  6. Step 6: Final answer
    x = 825,396.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.