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Finding the Third Proportional to 175,440.94 and 278,908.31

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Solution

The third proportional to 175,440.94 and 278,908.31 is: 443,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,440.94 : 278,908.31 = 278,908.31 : x
  2. Step 2: Convert to fraction form
    175,440.94/278,908.31 = 278,908.31/x
  3. Step 3: Cross multiply
    175,440.94x = 278,908.31 × 278,908.31
  4. Step 4: Simplify right side
    175,440.94x = 77,789,846,781.60
  5. Step 5: Solve for x
    x = 77,789,846,781.60/175,440.94
  6. Step 6: Final answer
    x = 443,396.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.