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Finding the Third Proportional to 72,150 and 159,873

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Solution

The third proportional to 72,150 and 159,873 is: 354,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,150 : 159,873 = 159,873 : x
  2. Step 2: Convert to fraction form
    72,150/159,873 = 159,873/x
  3. Step 3: Cross multiply
    72,150x = 159,873 × 159,873
  4. Step 4: Simplify right side
    72,150x = 25,559,376,129
  5. Step 5: Solve for x
    x = 25,559,376,129/72,150
  6. Step 6: Final answer
    x = 354,253.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.