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Finding the Third Proportional to 147,703 and 222,909

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Solution

The third proportional to 147,703 and 222,909 is: 336,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,703 : 222,909 = 222,909 : x
  2. Step 2: Convert to fraction form
    147,703/222,909 = 222,909/x
  3. Step 3: Cross multiply
    147,703x = 222,909 × 222,909
  4. Step 4: Simplify right side
    147,703x = 49,688,422,281
  5. Step 5: Solve for x
    x = 49,688,422,281/147,703
  6. Step 6: Final answer
    x = 336,407.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.