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Finding the Third Proportional to 153,190 and 229,947

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Solution

The third proportional to 153,190 and 229,947 is: 345,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190 : 229,947 = 229,947 : x
  2. Step 2: Convert to fraction form
    153,190/229,947 = 229,947/x
  3. Step 3: Cross multiply
    153,190x = 229,947 × 229,947
  4. Step 4: Simplify right side
    153,190x = 52,875,622,809
  5. Step 5: Solve for x
    x = 52,875,622,809/153,190
  6. Step 6: Final answer
    x = 345,163.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.