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Finding the Third Proportional to 331,317 and 720,629

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Solution

The third proportional to 331,317 and 720,629 is: 1,567,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,317 : 720,629 = 720,629 : x
  2. Step 2: Convert to fraction form
    331,317/720,629 = 720,629/x
  3. Step 3: Cross multiply
    331,317x = 720,629 × 720,629
  4. Step 4: Simplify right side
    331,317x = 519,306,155,641
  5. Step 5: Solve for x
    x = 519,306,155,641/331,317
  6. Step 6: Final answer
    x = 1,567,399.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.