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Finding the Third Proportional to 156,787 and 305,690

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Solution

The third proportional to 156,787 and 305,690 is: 596,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,787 : 305,690 = 305,690 : x
  2. Step 2: Convert to fraction form
    156,787/305,690 = 305,690/x
  3. Step 3: Cross multiply
    156,787x = 305,690 × 305,690
  4. Step 4: Simplify right side
    156,787x = 93,446,376,100
  5. Step 5: Solve for x
    x = 93,446,376,100/156,787
  6. Step 6: Final answer
    x = 596,008.45

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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.