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Finding the Third Proportional to 75,909 and 109,335

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Solution

The third proportional to 75,909 and 109,335 is: 157,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909 : 109,335 = 109,335 : x
  2. Step 2: Convert to fraction form
    75,909/109,335 = 109,335/x
  3. Step 3: Cross multiply
    75,909x = 109,335 × 109,335
  4. Step 4: Simplify right side
    75,909x = 11,954,142,225
  5. Step 5: Solve for x
    x = 11,954,142,225/75,909
  6. Step 6: Final answer
    x = 157,479.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.