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Finding the Third Proportional to 73,036 and 153,450

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Solution

The third proportional to 73,036 and 153,450 is: 322,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,036 : 153,450 = 153,450 : x
  2. Step 2: Convert to fraction form
    73,036/153,450 = 153,450/x
  3. Step 3: Cross multiply
    73,036x = 153,450 × 153,450
  4. Step 4: Simplify right side
    73,036x = 23,546,902,500
  5. Step 5: Solve for x
    x = 23,546,902,500/73,036
  6. Step 6: Final answer
    x = 322,401.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.