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Finding the Third Proportional to 303,576.75 and 438,577.88

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Solution

The third proportional to 303,576.75 and 438,577.88 is: 633,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,576.75 : 438,577.88 = 438,577.88 : x
  2. Step 2: Convert to fraction form
    303,576.75/438,577.88 = 438,577.88/x
  3. Step 3: Cross multiply
    303,576.75x = 438,577.88 × 438,577.88
  4. Step 4: Simplify right side
    303,576.75x = 192,350,552,439.52
  5. Step 5: Solve for x
    x = 192,350,552,439.52/303,576.75
  6. Step 6: Final answer
    x = 633,614.24

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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.