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Finding the Third Proportional to 69,511 and 115,049

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Solution

The third proportional to 69,511 and 115,049 is: 190,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,511 : 115,049 = 115,049 : x
  2. Step 2: Convert to fraction form
    69,511/115,049 = 115,049/x
  3. Step 3: Cross multiply
    69,511x = 115,049 × 115,049
  4. Step 4: Simplify right side
    69,511x = 13,236,272,401
  5. Step 5: Solve for x
    x = 13,236,272,401/69,511
  6. Step 6: Final answer
    x = 190,419.82

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.