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Finding the Third Proportional to 175,636 and 378,920

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Solution

The third proportional to 175,636 and 378,920 is: 817,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,636 : 378,920 = 378,920 : x
  2. Step 2: Convert to fraction form
    175,636/378,920 = 378,920/x
  3. Step 3: Cross multiply
    175,636x = 378,920 × 378,920
  4. Step 4: Simplify right side
    175,636x = 143,580,366,400
  5. Step 5: Solve for x
    x = 143,580,366,400/175,636
  6. Step 6: Final answer
    x = 817,488.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.