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Finding the Third Proportional to 131,778 and 289,800

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Solution

The third proportional to 131,778 and 289,800 is: 637,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,778 : 289,800 = 289,800 : x
  2. Step 2: Convert to fraction form
    131,778/289,800 = 289,800/x
  3. Step 3: Cross multiply
    131,778x = 289,800 × 289,800
  4. Step 4: Simplify right side
    131,778x = 83,984,040,000
  5. Step 5: Solve for x
    x = 83,984,040,000/131,778
  6. Step 6: Final answer
    x = 637,314.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.