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Finding the Third Proportional to 177,584 and 381,280

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Solution

The third proportional to 177,584 and 381,280 is: 818,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,584 : 381,280 = 381,280 : x
  2. Step 2: Convert to fraction form
    177,584/381,280 = 381,280/x
  3. Step 3: Cross multiply
    177,584x = 381,280 × 381,280
  4. Step 4: Simplify right side
    177,584x = 145,374,438,400
  5. Step 5: Solve for x
    x = 145,374,438,400/177,584
  6. Step 6: Final answer
    x = 818,623.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.