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Finding the Third Proportional to 156,139 and 324,544.25

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Solution

The third proportional to 156,139 and 324,544.25 is: 674,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,139 : 324,544.25 = 324,544.25 : x
  2. Step 2: Convert to fraction form
    156,139/324,544.25 = 324,544.25/x
  3. Step 3: Cross multiply
    156,139x = 324,544.25 × 324,544.25
  4. Step 4: Simplify right side
    156,139x = 105,328,970,208.06
  5. Step 5: Solve for x
    x = 105,328,970,208.06/156,139
  6. Step 6: Final answer
    x = 674,584.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.