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Finding the Third Proportional to 135,669 and 289,350

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Solution

The third proportional to 135,669 and 289,350 is: 617,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,669 : 289,350 = 289,350 : x
  2. Step 2: Convert to fraction form
    135,669/289,350 = 289,350/x
  3. Step 3: Cross multiply
    135,669x = 289,350 × 289,350
  4. Step 4: Simplify right side
    135,669x = 83,723,422,500
  5. Step 5: Solve for x
    x = 83,723,422,500/135,669
  6. Step 6: Final answer
    x = 617,115.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.