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Finding the Third Proportional to 157,920 and 322,183.50

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Solution

The third proportional to 157,920 and 322,183.50 is: 657,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920 : 322,183.50 = 322,183.50 : x
  2. Step 2: Convert to fraction form
    157,920/322,183.50 = 322,183.50/x
  3. Step 3: Cross multiply
    157,920x = 322,183.50 × 322,183.50
  4. Step 4: Simplify right side
    157,920x = 103,802,207,672.25
  5. Step 5: Solve for x
    x = 103,802,207,672.25/157,920
  6. Step 6: Final answer
    x = 657,308.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.