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Finding the Third Proportional to 177,426.75 and 378,079.50

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Solution

The third proportional to 177,426.75 and 378,079.50 is: 805,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,426.75 : 378,079.50 = 378,079.50 : x
  2. Step 2: Convert to fraction form
    177,426.75/378,079.50 = 378,079.50/x
  3. Step 3: Cross multiply
    177,426.75x = 378,079.50 × 378,079.50
  4. Step 4: Simplify right side
    177,426.75x = 142,944,108,320.25
  5. Step 5: Solve for x
    x = 142,944,108,320.25/177,426.75
  6. Step 6: Final answer
    x = 805,651.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.