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Finding the Third Proportional to 156,638 and 305,392

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Solution

The third proportional to 156,638 and 305,392 is: 595,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,638 : 305,392 = 305,392 : x
  2. Step 2: Convert to fraction form
    156,638/305,392 = 305,392/x
  3. Step 3: Cross multiply
    156,638x = 305,392 × 305,392
  4. Step 4: Simplify right side
    156,638x = 93,264,273,664
  5. Step 5: Solve for x
    x = 93,264,273,664/156,638
  6. Step 6: Final answer
    x = 595,412.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.