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Finding the Third Proportional to 156,639 and 321,578

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Solution

The third proportional to 156,639 and 321,578 is: 660,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,639 : 321,578 = 321,578 : x
  2. Step 2: Convert to fraction form
    156,639/321,578 = 321,578/x
  3. Step 3: Cross multiply
    156,639x = 321,578 × 321,578
  4. Step 4: Simplify right side
    156,639x = 103,412,410,084
  5. Step 5: Solve for x
    x = 103,412,410,084/156,639
  6. Step 6: Final answer
    x = 660,195.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.