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Finding the Third Proportional to 156,819 and 208,660.50

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Solution

The third proportional to 156,819 and 208,660.50 is: 277,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,819 : 208,660.50 = 208,660.50 : x
  2. Step 2: Convert to fraction form
    156,819/208,660.50 = 208,660.50/x
  3. Step 3: Cross multiply
    156,819x = 208,660.50 × 208,660.50
  4. Step 4: Simplify right side
    156,819x = 43,539,204,260.25
  5. Step 5: Solve for x
    x = 43,539,204,260.25/156,819
  6. Step 6: Final answer
    x = 277,639.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.