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Finding the Third Proportional to 295,939.13 and 641,676.38

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Solution

The third proportional to 295,939.13 and 641,676.38 is: 1,391,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,939.13 : 641,676.38 = 641,676.38 : x
  2. Step 2: Convert to fraction form
    295,939.13/641,676.38 = 641,676.38/x
  3. Step 3: Cross multiply
    295,939.13x = 641,676.38 × 641,676.38
  4. Step 4: Simplify right side
    295,939.13x = 411,748,570,233.14
  5. Step 5: Solve for x
    x = 411,748,570,233.14/295,939.13
  6. Step 6: Final answer
    x = 1,391,328.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.