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Finding the Third Proportional to 72,724 and 159,740

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Solution

The third proportional to 72,724 and 159,740 is: 350,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,724 : 159,740 = 159,740 : x
  2. Step 2: Convert to fraction form
    72,724/159,740 = 159,740/x
  3. Step 3: Cross multiply
    72,724x = 159,740 × 159,740
  4. Step 4: Simplify right side
    72,724x = 25,516,867,600
  5. Step 5: Solve for x
    x = 25,516,867,600/72,724
  6. Step 6: Final answer
    x = 350,872.72

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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.