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Finding the Third Proportional to 51,778 and 75,155

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Solution

The third proportional to 51,778 and 75,155 is: 109,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,778 : 75,155 = 75,155 : x
  2. Step 2: Convert to fraction form
    51,778/75,155 = 75,155/x
  3. Step 3: Cross multiply
    51,778x = 75,155 × 75,155
  4. Step 4: Simplify right side
    51,778x = 5,648,274,025
  5. Step 5: Solve for x
    x = 5,648,274,025/51,778
  6. Step 6: Final answer
    x = 109,086.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.