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Finding the Third Proportional to 135,407 and 209,558

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Solution

The third proportional to 135,407 and 209,558 is: 324,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,407 : 209,558 = 209,558 : x
  2. Step 2: Convert to fraction form
    135,407/209,558 = 209,558/x
  3. Step 3: Cross multiply
    135,407x = 209,558 × 209,558
  4. Step 4: Simplify right side
    135,407x = 43,914,555,364
  5. Step 5: Solve for x
    x = 43,914,555,364/135,407
  6. Step 6: Final answer
    x = 324,315.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.