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Finding the Third Proportional to 72,591 and 156,307

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Solution

The third proportional to 72,591 and 156,307 is: 336,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,591 : 156,307 = 156,307 : x
  2. Step 2: Convert to fraction form
    72,591/156,307 = 156,307/x
  3. Step 3: Cross multiply
    72,591x = 156,307 × 156,307
  4. Step 4: Simplify right side
    72,591x = 24,431,878,249
  5. Step 5: Solve for x
    x = 24,431,878,249/72,591
  6. Step 6: Final answer
    x = 336,568.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.