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Finding the Third Proportional to 175,340.25 and 378,658.13

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Solution

The third proportional to 175,340.25 and 378,658.13 is: 817,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,340.25 : 378,658.13 = 378,658.13 : x
  2. Step 2: Convert to fraction form
    175,340.25/378,658.13 = 378,658.13/x
  3. Step 3: Cross multiply
    175,340.25x = 378,658.13 × 378,658.13
  4. Step 4: Simplify right side
    175,340.25x = 143,381,975,628.52
  5. Step 5: Solve for x
    x = 143,381,975,628.52/175,340.25
  6. Step 6: Final answer
    x = 817,735.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.