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Finding the Third Proportional to 243,181.13 and 388,486.13

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Solution

The third proportional to 243,181.13 and 388,486.13 is: 620,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,181.13 : 388,486.13 = 388,486.13 : x
  2. Step 2: Convert to fraction form
    243,181.13/388,486.13 = 388,486.13/x
  3. Step 3: Cross multiply
    243,181.13x = 388,486.13 × 388,486.13
  4. Step 4: Simplify right side
    243,181.13x = 150,921,469,317.52
  5. Step 5: Solve for x
    x = 150,921,469,317.52/243,181.13
  6. Step 6: Final answer
    x = 620,613.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.