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Finding the Third Proportional to 135,882 and 288,207

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Solution

The third proportional to 135,882 and 288,207 is: 611,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882 : 288,207 = 288,207 : x
  2. Step 2: Convert to fraction form
    135,882/288,207 = 288,207/x
  3. Step 3: Cross multiply
    135,882x = 288,207 × 288,207
  4. Step 4: Simplify right side
    135,882x = 83,063,274,849
  5. Step 5: Solve for x
    x = 83,063,274,849/135,882
  6. Step 6: Final answer
    x = 611,289.76

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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.