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Finding the Third Proportional to 338,473.13 and 743,379.19

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Solution

The third proportional to 338,473.13 and 743,379.19 is: 1,632,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,473.13 : 743,379.19 = 743,379.19 : x
  2. Step 2: Convert to fraction form
    338,473.13/743,379.19 = 743,379.19/x
  3. Step 3: Cross multiply
    338,473.13x = 743,379.19 × 743,379.19
  4. Step 4: Simplify right side
    338,473.13x = 552,612,616,408.16
  5. Step 5: Solve for x
    x = 552,612,616,408.16/338,473.13
  6. Step 6: Final answer
    x = 1,632,663.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.