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Finding the Third Proportional to 135,454 and 209,621

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Solution

The third proportional to 135,454 and 209,621 is: 324,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,454 : 209,621 = 209,621 : x
  2. Step 2: Convert to fraction form
    135,454/209,621 = 209,621/x
  3. Step 3: Cross multiply
    135,454x = 209,621 × 209,621
  4. Step 4: Simplify right side
    135,454x = 43,940,963,641
  5. Step 5: Solve for x
    x = 43,940,963,641/135,454
  6. Step 6: Final answer
    x = 324,397.68

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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.