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Finding the Third Proportional to 51,659 and 109,519

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Solution

The third proportional to 51,659 and 109,519 is: 232,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659 : 109,519 = 109,519 : x
  2. Step 2: Convert to fraction form
    51,659/109,519 = 109,519/x
  3. Step 3: Cross multiply
    51,659x = 109,519 × 109,519
  4. Step 4: Simplify right side
    51,659x = 11,994,411,361
  5. Step 5: Solve for x
    x = 11,994,411,361/51,659
  6. Step 6: Final answer
    x = 232,184.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.