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Finding the Third Proportional to 187,064 and 407,680

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Solution

The third proportional to 187,064 and 407,680 is: 888,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,064 : 407,680 = 407,680 : x
  2. Step 2: Convert to fraction form
    187,064/407,680 = 407,680/x
  3. Step 3: Cross multiply
    187,064x = 407,680 × 407,680
  4. Step 4: Simplify right side
    187,064x = 166,202,982,400
  5. Step 5: Solve for x
    x = 166,202,982,400/187,064
  6. Step 6: Final answer
    x = 888,481.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.