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Finding the Third Proportional to 191,743 and 403,318

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Solution

The third proportional to 191,743 and 403,318 is: 848,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,743 : 403,318 = 403,318 : x
  2. Step 2: Convert to fraction form
    191,743/403,318 = 403,318/x
  3. Step 3: Cross multiply
    191,743x = 403,318 × 403,318
  4. Step 4: Simplify right side
    191,743x = 162,665,409,124
  5. Step 5: Solve for x
    x = 162,665,409,124/191,743
  6. Step 6: Final answer
    x = 848,351.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.