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Finding the Third Proportional to 80,288 and 92,000

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Solution

The third proportional to 80,288 and 92,000 is: 105,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,288 : 92,000 = 92,000 : x
  2. Step 2: Convert to fraction form
    80,288/92,000 = 92,000/x
  3. Step 3: Cross multiply
    80,288x = 92,000 × 92,000
  4. Step 4: Simplify right side
    80,288x = 8,464,000,000
  5. Step 5: Solve for x
    x = 8,464,000,000/80,288
  6. Step 6: Final answer
    x = 105,420.49

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.