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Finding the Third Proportional to 51,405 and 82,027.50

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Solution

The third proportional to 51,405 and 82,027.50 is: 130,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405 : 82,027.50 = 82,027.50 : x
  2. Step 2: Convert to fraction form
    51,405/82,027.50 = 82,027.50/x
  3. Step 3: Cross multiply
    51,405x = 82,027.50 × 82,027.50
  4. Step 4: Simplify right side
    51,405x = 6,728,510,756.25
  5. Step 5: Solve for x
    x = 6,728,510,756.25/51,405
  6. Step 6: Final answer
    x = 130,892.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.