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Finding the Third Proportional to 80,122 and 130,223

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Solution

The third proportional to 80,122 and 130,223 is: 211,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,122 : 130,223 = 130,223 : x
  2. Step 2: Convert to fraction form
    80,122/130,223 = 130,223/x
  3. Step 3: Cross multiply
    80,122x = 130,223 × 130,223
  4. Step 4: Simplify right side
    80,122x = 16,958,029,729
  5. Step 5: Solve for x
    x = 16,958,029,729/80,122
  6. Step 6: Final answer
    x = 211,652.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.