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Finding the Third Proportional to 243,813 and 323,514.75

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Solution

The third proportional to 243,813 and 323,514.75 is: 429,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,813 : 323,514.75 = 323,514.75 : x
  2. Step 2: Convert to fraction form
    243,813/323,514.75 = 323,514.75/x
  3. Step 3: Cross multiply
    243,813x = 323,514.75 × 323,514.75
  4. Step 4: Simplify right side
    243,813x = 104,661,793,467.56
  5. Step 5: Solve for x
    x = 104,661,793,467.56/243,813
  6. Step 6: Final answer
    x = 429,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.