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Finding the Third Proportional to 214,572 and 324,619

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Solution

The third proportional to 214,572 and 324,619 is: 491,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,572 : 324,619 = 324,619 : x
  2. Step 2: Convert to fraction form
    214,572/324,619 = 324,619/x
  3. Step 3: Cross multiply
    214,572x = 324,619 × 324,619
  4. Step 4: Simplify right side
    214,572x = 105,377,495,161
  5. Step 5: Solve for x
    x = 105,377,495,161/214,572
  6. Step 6: Final answer
    x = 491,105.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.