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Finding the Third Proportional to 52,195.50 and 76,410

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Solution

The third proportional to 52,195.50 and 76,410 is: 111,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195.50 : 76,410 = 76,410 : x
  2. Step 2: Convert to fraction form
    52,195.50/76,410 = 76,410/x
  3. Step 3: Cross multiply
    52,195.50x = 76,410 × 76,410
  4. Step 4: Simplify right side
    52,195.50x = 5,838,488,100
  5. Step 5: Solve for x
    x = 5,838,488,100/52,195.50
  6. Step 6: Final answer
    x = 111,858.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.