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Finding the Third Proportional to 190,916 and 415,816

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Solution

The third proportional to 190,916 and 415,816 is: 905,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,916 : 415,816 = 415,816 : x
  2. Step 2: Convert to fraction form
    190,916/415,816 = 415,816/x
  3. Step 3: Cross multiply
    190,916x = 415,816 × 415,816
  4. Step 4: Simplify right side
    190,916x = 172,902,945,856
  5. Step 5: Solve for x
    x = 172,902,945,856/190,916
  6. Step 6: Final answer
    x = 905,649.32

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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.