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Finding the Third Proportional to 175,636.13 and 378,920.25

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Solution

The third proportional to 175,636.13 and 378,920.25 is: 817,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,636.13 : 378,920.25 = 378,920.25 : x
  2. Step 2: Convert to fraction form
    175,636.13/378,920.25 = 378,920.25/x
  3. Step 3: Cross multiply
    175,636.13x = 378,920.25 × 378,920.25
  4. Step 4: Simplify right side
    175,636.13x = 143,580,555,860.06
  5. Step 5: Solve for x
    x = 143,580,555,860.06/175,636.13
  6. Step 6: Final answer
    x = 817,488.75

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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.