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Finding the Third Proportional to 300,007.13 and 438,162.75

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Solution

The third proportional to 300,007.13 and 438,162.75 is: 639,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,007.13 : 438,162.75 = 438,162.75 : x
  2. Step 2: Convert to fraction form
    300,007.13/438,162.75 = 438,162.75/x
  3. Step 3: Cross multiply
    300,007.13x = 438,162.75 × 438,162.75
  4. Step 4: Simplify right side
    300,007.13x = 191,986,595,487.56
  5. Step 5: Solve for x
    x = 191,986,595,487.56/300,007.13
  6. Step 6: Final answer
    x = 639,940.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.