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Finding the Third Proportional to 187,648 and 406,616

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Solution

The third proportional to 187,648 and 406,616 is: 881,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,648 : 406,616 = 406,616 : x
  2. Step 2: Convert to fraction form
    187,648/406,616 = 406,616/x
  3. Step 3: Cross multiply
    187,648x = 406,616 × 406,616
  4. Step 4: Simplify right side
    187,648x = 165,336,571,456
  5. Step 5: Solve for x
    x = 165,336,571,456/187,648
  6. Step 6: Final answer
    x = 881,099.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.