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Finding the Third Proportional to 51,240 and 80,205

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Solution

The third proportional to 51,240 and 80,205 is: 125,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 80,205 = 80,205 : x
  2. Step 2: Convert to fraction form
    51,240/80,205 = 80,205/x
  3. Step 3: Cross multiply
    51,240x = 80,205 × 80,205
  4. Step 4: Simplify right side
    51,240x = 6,432,842,025
  5. Step 5: Solve for x
    x = 6,432,842,025/51,240
  6. Step 6: Final answer
    x = 125,543.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.