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Finding the Third Proportional to 1,820.39 and 3,136.64

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Solution

The third proportional to 1,820.39 and 3,136.64 is: 5,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.39 : 3,136.64 = 3,136.64 : x
  2. Step 2: Convert to fraction form
    1,820.39/3,136.64 = 3,136.64/x
  3. Step 3: Cross multiply
    1,820.39x = 3,136.64 × 3,136.64
  4. Step 4: Simplify right side
    1,820.39x = 9,838,514.41
  5. Step 5: Solve for x
    x = 9,838,514.41/1,820.39
  6. Step 6: Final answer
    x = 5,404.62

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.