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Finding the Third Proportional to 299,613.94 and 421,431.19

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Solution

The third proportional to 299,613.94 and 421,431.19 is: 592,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,613.94 : 421,431.19 = 421,431.19 : x
  2. Step 2: Convert to fraction form
    299,613.94/421,431.19 = 421,431.19/x
  3. Step 3: Cross multiply
    299,613.94x = 421,431.19 × 421,431.19
  4. Step 4: Simplify right side
    299,613.94x = 177,604,245,797.66
  5. Step 5: Solve for x
    x = 177,604,245,797.66/299,613.94
  6. Step 6: Final answer
    x = 592,776.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.