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Finding the Third Proportional to 270,474.19 and 384,448.78

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Solution

The third proportional to 270,474.19 and 384,448.78 is: 546,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,474.19 : 384,448.78 = 384,448.78 : x
  2. Step 2: Convert to fraction form
    270,474.19/384,448.78 = 384,448.78/x
  3. Step 3: Cross multiply
    270,474.19x = 384,448.78 × 384,448.78
  4. Step 4: Simplify right side
    270,474.19x = 147,800,865,404.61
  5. Step 5: Solve for x
    x = 147,800,865,404.61/270,474.19
  6. Step 6: Final answer
    x = 546,450.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.