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Finding the Third Proportional to 51,292 and 80,290

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Solution

The third proportional to 51,292 and 80,290 is: 125,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,292 : 80,290 = 80,290 : x
  2. Step 2: Convert to fraction form
    51,292/80,290 = 80,290/x
  3. Step 3: Cross multiply
    51,292x = 80,290 × 80,290
  4. Step 4: Simplify right side
    51,292x = 6,446,484,100
  5. Step 5: Solve for x
    x = 6,446,484,100/51,292
  6. Step 6: Final answer
    x = 125,682.06

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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.