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Finding the Third Proportional to 149,318 and 322,389

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Solution

The third proportional to 149,318 and 322,389 is: 696,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318 : 322,389 = 322,389 : x
  2. Step 2: Convert to fraction form
    149,318/322,389 = 322,389/x
  3. Step 3: Cross multiply
    149,318x = 322,389 × 322,389
  4. Step 4: Simplify right side
    149,318x = 103,934,667,321
  5. Step 5: Solve for x
    x = 103,934,667,321/149,318
  6. Step 6: Final answer
    x = 696,062.55

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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.