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Finding the Third Proportional to 82,122.75 and 90,762.75

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Solution

The third proportional to 82,122.75 and 90,762.75 is: 100,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.75 : 90,762.75 = 90,762.75 : x
  2. Step 2: Convert to fraction form
    82,122.75/90,762.75 = 90,762.75/x
  3. Step 3: Cross multiply
    82,122.75x = 90,762.75 × 90,762.75
  4. Step 4: Simplify right side
    82,122.75x = 8,237,876,787.56
  5. Step 5: Solve for x
    x = 8,237,876,787.56/82,122.75
  6. Step 6: Final answer
    x = 100,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.