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Finding the Third Proportional to 188,279.44 and 409,779

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Solution

The third proportional to 188,279.44 and 409,779 is: 891,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,279.44 : 409,779 = 409,779 : x
  2. Step 2: Convert to fraction form
    188,279.44/409,779 = 409,779/x
  3. Step 3: Cross multiply
    188,279.44x = 409,779 × 409,779
  4. Step 4: Simplify right side
    188,279.44x = 167,918,828,841
  5. Step 5: Solve for x
    x = 167,918,828,841/188,279.44
  6. Step 6: Final answer
    x = 891,859.63

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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.