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Finding the Third Proportional to 305,380.13 and 438,387.19

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Solution

The third proportional to 305,380.13 and 438,387.19 is: 629,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,380.13 : 438,387.19 = 438,387.19 : x
  2. Step 2: Convert to fraction form
    305,380.13/438,387.19 = 438,387.19/x
  3. Step 3: Cross multiply
    305,380.13x = 438,387.19 × 438,387.19
  4. Step 4: Simplify right side
    305,380.13x = 192,183,326,164.16
  5. Step 5: Solve for x
    x = 192,183,326,164.16/305,380.13
  6. Step 6: Final answer
    x = 629,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.