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Finding the Third Proportional to 135,885 and 288,213

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Solution

The third proportional to 135,885 and 288,213 is: 611,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885 : 288,213 = 288,213 : x
  2. Step 2: Convert to fraction form
    135,885/288,213 = 288,213/x
  3. Step 3: Cross multiply
    135,885x = 288,213 × 288,213
  4. Step 4: Simplify right side
    135,885x = 83,066,733,369
  5. Step 5: Solve for x
    x = 83,066,733,369/135,885
  6. Step 6: Final answer
    x = 611,301.71

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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.