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Finding the Third Proportional to 75,729 and 156,385

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Solution

The third proportional to 75,729 and 156,385 is: 322,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,729 : 156,385 = 156,385 : x
  2. Step 2: Convert to fraction form
    75,729/156,385 = 156,385/x
  3. Step 3: Cross multiply
    75,729x = 156,385 × 156,385
  4. Step 4: Simplify right side
    75,729x = 24,456,268,225
  5. Step 5: Solve for x
    x = 24,456,268,225/75,729
  6. Step 6: Final answer
    x = 322,944.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.