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Finding the Third Proportional to 82,200 and 123,300

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Solution

The third proportional to 82,200 and 123,300 is: 184,950

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200 : 123,300 = 123,300 : x
  2. Step 2: Convert to fraction form
    82,200/123,300 = 123,300/x
  3. Step 3: Cross multiply
    82,200x = 123,300 × 123,300
  4. Step 4: Simplify right side
    82,200x = 15,202,890,000
  5. Step 5: Solve for x
    x = 15,202,890,000/82,200
  6. Step 6: Final answer
    x = 184,950

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.