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Finding the Third Proportional to 177,766 and 285,410

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Solution

The third proportional to 177,766 and 285,410 is: 458,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,766 : 285,410 = 285,410 : x
  2. Step 2: Convert to fraction form
    177,766/285,410 = 285,410/x
  3. Step 3: Cross multiply
    177,766x = 285,410 × 285,410
  4. Step 4: Simplify right side
    177,766x = 81,458,868,100
  5. Step 5: Solve for x
    x = 81,458,868,100/177,766
  6. Step 6: Final answer
    x = 458,236.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.