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Finding the Third Proportional to 135,410 and 209,562

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Solution

The third proportional to 135,410 and 209,562 is: 324,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,410 : 209,562 = 209,562 : x
  2. Step 2: Convert to fraction form
    135,410/209,562 = 209,562/x
  3. Step 3: Cross multiply
    135,410x = 209,562 × 209,562
  4. Step 4: Simplify right side
    135,410x = 43,916,231,844
  5. Step 5: Solve for x
    x = 43,916,231,844/135,410
  6. Step 6: Final answer
    x = 324,320.45

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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.