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Finding the Third Proportional to 150,621 and 321,258

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Solution

The third proportional to 150,621 and 321,258 is: 685,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,621 : 321,258 = 321,258 : x
  2. Step 2: Convert to fraction form
    150,621/321,258 = 321,258/x
  3. Step 3: Cross multiply
    150,621x = 321,258 × 321,258
  4. Step 4: Simplify right side
    150,621x = 103,206,702,564
  5. Step 5: Solve for x
    x = 103,206,702,564/150,621
  6. Step 6: Final answer
    x = 685,207.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.