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Finding the Third Proportional to 375.66 and 819.59

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Solution

The third proportional to 375.66 and 819.59 is: 1,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.66 : 819.59 = 819.59 : x
  2. Step 2: Convert to fraction form
    375.66/819.59 = 819.59/x
  3. Step 3: Cross multiply
    375.66x = 819.59 × 819.59
  4. Step 4: Simplify right side
    375.66x = 671,733.92
  5. Step 5: Solve for x
    x = 671,733.92/375.66
  6. Step 6: Final answer
    x = 1,788.16

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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.