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Finding the Third Proportional to 76,396.50 and 99,821

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Solution

The third proportional to 76,396.50 and 99,821 is: 130,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.50 : 99,821 = 99,821 : x
  2. Step 2: Convert to fraction form
    76,396.50/99,821 = 99,821/x
  3. Step 3: Cross multiply
    76,396.50x = 99,821 × 99,821
  4. Step 4: Simplify right side
    76,396.50x = 9,964,232,041
  5. Step 5: Solve for x
    x = 9,964,232,041/76,396.50
  6. Step 6: Final answer
    x = 130,427.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.