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Finding the Third Proportional to 73,920 and 162,009

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Solution

The third proportional to 73,920 and 162,009 is: 355,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920 : 162,009 = 162,009 : x
  2. Step 2: Convert to fraction form
    73,920/162,009 = 162,009/x
  3. Step 3: Cross multiply
    73,920x = 162,009 × 162,009
  4. Step 4: Simplify right side
    73,920x = 26,246,916,081
  5. Step 5: Solve for x
    x = 26,246,916,081/73,920
  6. Step 6: Final answer
    x = 355,071.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.