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Finding the Third Proportional to 75,909 and 105,252

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Solution

The third proportional to 75,909 and 105,252 is: 145,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909 : 105,252 = 105,252 : x
  2. Step 2: Convert to fraction form
    75,909/105,252 = 105,252/x
  3. Step 3: Cross multiply
    75,909x = 105,252 × 105,252
  4. Step 4: Simplify right side
    75,909x = 11,077,983,504
  5. Step 5: Solve for x
    x = 11,077,983,504/75,909
  6. Step 6: Final answer
    x = 145,937.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.