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Finding the Third Proportional to 175,640 and 378,928

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Solution

The third proportional to 175,640 and 378,928 is: 817,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,640 : 378,928 = 378,928 : x
  2. Step 2: Convert to fraction form
    175,640/378,928 = 378,928/x
  3. Step 3: Cross multiply
    175,640x = 378,928 × 378,928
  4. Step 4: Simplify right side
    175,640x = 143,586,429,184
  5. Step 5: Solve for x
    x = 143,586,429,184/175,640
  6. Step 6: Final answer
    x = 817,504.15

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Why These Related Problems?

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