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Finding the Third Proportional to 187,968 and 406,912

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Solution

The third proportional to 187,968 and 406,912 is: 880,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,968 : 406,912 = 406,912 : x
  2. Step 2: Convert to fraction form
    187,968/406,912 = 406,912/x
  3. Step 3: Cross multiply
    187,968x = 406,912 × 406,912
  4. Step 4: Simplify right side
    187,968x = 165,577,375,744
  5. Step 5: Solve for x
    x = 165,577,375,744/187,968
  6. Step 6: Final answer
    x = 880,880.66

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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.