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Finding the Third Proportional to 131,078 and 281,272

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Solution

The third proportional to 131,078 and 281,272 is: 603,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,078 : 281,272 = 281,272 : x
  2. Step 2: Convert to fraction form
    131,078/281,272 = 281,272/x
  3. Step 3: Cross multiply
    131,078x = 281,272 × 281,272
  4. Step 4: Simplify right side
    131,078x = 79,113,937,984
  5. Step 5: Solve for x
    x = 79,113,937,984/131,078
  6. Step 6: Final answer
    x = 603,563.82

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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.