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Finding the Third Proportional to 135,495 and 209,672

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Solution

The third proportional to 135,495 and 209,672 is: 324,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,495 : 209,672 = 209,672 : x
  2. Step 2: Convert to fraction form
    135,495/209,672 = 209,672/x
  3. Step 3: Cross multiply
    135,495x = 209,672 × 209,672
  4. Step 4: Simplify right side
    135,495x = 43,962,347,584
  5. Step 5: Solve for x
    x = 43,962,347,584/135,495
  6. Step 6: Final answer
    x = 324,457.34

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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.