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Finding the Third Proportional to 176,285 and 380,621

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Solution

The third proportional to 176,285 and 380,621 is: 821,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,285 : 380,621 = 380,621 : x
  2. Step 2: Convert to fraction form
    176,285/380,621 = 380,621/x
  3. Step 3: Cross multiply
    176,285x = 380,621 × 380,621
  4. Step 4: Simplify right side
    176,285x = 144,872,345,641
  5. Step 5: Solve for x
    x = 144,872,345,641/176,285
  6. Step 6: Final answer
    x = 821,807.56

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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.