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Finding the Third Proportional to 201,858.75 and 313,443

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Solution

The third proportional to 201,858.75 and 313,443 is: 486,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858.75 : 313,443 = 313,443 : x
  2. Step 2: Convert to fraction form
    201,858.75/313,443 = 313,443/x
  3. Step 3: Cross multiply
    201,858.75x = 313,443 × 313,443
  4. Step 4: Simplify right side
    201,858.75x = 98,246,514,249
  5. Step 5: Solve for x
    x = 98,246,514,249/201,858.75
  6. Step 6: Final answer
    x = 486,709.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.