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Finding the Third Proportional to 131,145 and 281,397

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Solution

The third proportional to 131,145 and 281,397 is: 603,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,145 : 281,397 = 281,397 : x
  2. Step 2: Convert to fraction form
    131,145/281,397 = 281,397/x
  3. Step 3: Cross multiply
    131,145x = 281,397 × 281,397
  4. Step 4: Simplify right side
    131,145x = 79,184,271,609
  5. Step 5: Solve for x
    x = 79,184,271,609/131,145
  6. Step 6: Final answer
    x = 603,791.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.