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Finding the Third Proportional to 190,217 and 401,656

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Solution

The third proportional to 190,217 and 401,656 is: 848,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,217 : 401,656 = 401,656 : x
  2. Step 2: Convert to fraction form
    190,217/401,656 = 401,656/x
  3. Step 3: Cross multiply
    190,217x = 401,656 × 401,656
  4. Step 4: Simplify right side
    190,217x = 161,327,542,336
  5. Step 5: Solve for x
    x = 161,327,542,336/190,217
  6. Step 6: Final answer
    x = 848,123.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.