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Finding the Third Proportional to 51,131 and 109,369

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Solution

The third proportional to 51,131 and 109,369 is: 233,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,131 : 109,369 = 109,369 : x
  2. Step 2: Convert to fraction form
    51,131/109,369 = 109,369/x
  3. Step 3: Cross multiply
    51,131x = 109,369 × 109,369
  4. Step 4: Simplify right side
    51,131x = 11,961,578,161
  5. Step 5: Solve for x
    x = 11,961,578,161/51,131
  6. Step 6: Final answer
    x = 233,939.84

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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.