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Finding the Third Proportional to 135,921 and 288,285

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Solution

The third proportional to 135,921 and 288,285 is: 611,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,921 : 288,285 = 288,285 : x
  2. Step 2: Convert to fraction form
    135,921/288,285 = 288,285/x
  3. Step 3: Cross multiply
    135,921x = 288,285 × 288,285
  4. Step 4: Simplify right side
    135,921x = 83,108,241,225
  5. Step 5: Solve for x
    x = 83,108,241,225/135,921
  6. Step 6: Final answer
    x = 611,445.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.