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Finding the Third Proportional to 131,220 and 281,094

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Solution

The third proportional to 131,220 and 281,094 is: 602,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 281,094 = 281,094 : x
  2. Step 2: Convert to fraction form
    131,220/281,094 = 281,094/x
  3. Step 3: Cross multiply
    131,220x = 281,094 × 281,094
  4. Step 4: Simplify right side
    131,220x = 79,013,836,836
  5. Step 5: Solve for x
    x = 79,013,836,836/131,220
  6. Step 6: Final answer
    x = 602,147.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.