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Finding the Third Proportional to 99,778 and 210,794.50

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Solution

The third proportional to 99,778 and 210,794.50 is: 445,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778 : 210,794.50 = 210,794.50 : x
  2. Step 2: Convert to fraction form
    99,778/210,794.50 = 210,794.50/x
  3. Step 3: Cross multiply
    99,778x = 210,794.50 × 210,794.50
  4. Step 4: Simplify right side
    99,778x = 44,434,321,230.25
  5. Step 5: Solve for x
    x = 44,434,321,230.25/99,778
  6. Step 6: Final answer
    x = 445,331.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.