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Finding the Third Proportional to 72,811 and 159,897

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Solution

The third proportional to 72,811 and 159,897 is: 351,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,811 : 159,897 = 159,897 : x
  2. Step 2: Convert to fraction form
    72,811/159,897 = 159,897/x
  3. Step 3: Cross multiply
    72,811x = 159,897 × 159,897
  4. Step 4: Simplify right side
    72,811x = 25,567,050,609
  5. Step 5: Solve for x
    x = 25,567,050,609/72,811
  6. Step 6: Final answer
    x = 351,142.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.