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Finding the Third Proportional to 129,860 and 283,552

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Solution

The third proportional to 129,860 and 283,552 is: 619,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,860 : 283,552 = 283,552 : x
  2. Step 2: Convert to fraction form
    129,860/283,552 = 283,552/x
  3. Step 3: Cross multiply
    129,860x = 283,552 × 283,552
  4. Step 4: Simplify right side
    129,860x = 80,401,736,704
  5. Step 5: Solve for x
    x = 80,401,736,704/129,860
  6. Step 6: Final answer
    x = 619,141.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.