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Finding the Third Proportional to 51,990 and 82,653

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Solution

The third proportional to 51,990 and 82,653 is: 131,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,990 : 82,653 = 82,653 : x
  2. Step 2: Convert to fraction form
    51,990/82,653 = 82,653/x
  3. Step 3: Cross multiply
    51,990x = 82,653 × 82,653
  4. Step 4: Simplify right side
    51,990x = 6,831,518,409
  5. Step 5: Solve for x
    x = 6,831,518,409/51,990
  6. Step 6: Final answer
    x = 131,400.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.