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Finding the Third Proportional to 70,539 and 109,293

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Solution

The third proportional to 70,539 and 109,293 is: 169,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,539 : 109,293 = 109,293 : x
  2. Step 2: Convert to fraction form
    70,539/109,293 = 109,293/x
  3. Step 3: Cross multiply
    70,539x = 109,293 × 109,293
  4. Step 4: Simplify right side
    70,539x = 11,944,959,849
  5. Step 5: Solve for x
    x = 11,944,959,849/70,539
  6. Step 6: Final answer
    x = 169,338.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.