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Finding the Third Proportional to 176,684 and 378,616

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Solution

The third proportional to 176,684 and 378,616 is: 811,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,684 : 378,616 = 378,616 : x
  2. Step 2: Convert to fraction form
    176,684/378,616 = 378,616/x
  3. Step 3: Cross multiply
    176,684x = 378,616 × 378,616
  4. Step 4: Simplify right side
    176,684x = 143,350,075,456
  5. Step 5: Solve for x
    x = 143,350,075,456/176,684
  6. Step 6: Final answer
    x = 811,335.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.