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Finding the Third Proportional to 308,294.38 and 672,613.56

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Solution

The third proportional to 308,294.38 and 672,613.56 is: 1,467,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,294.38 : 672,613.56 = 672,613.56 : x
  2. Step 2: Convert to fraction form
    308,294.38/672,613.56 = 672,613.56/x
  3. Step 3: Cross multiply
    308,294.38x = 672,613.56 × 672,613.56
  4. Step 4: Simplify right side
    308,294.38x = 452,408,999,204.15
  5. Step 5: Solve for x
    x = 452,408,999,204.15/308,294.38
  6. Step 6: Final answer
    x = 1,467,457.80

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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.