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Finding the Third Proportional to 149,772 and 320,604

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Solution

The third proportional to 149,772 and 320,604 is: 686,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,772 : 320,604 = 320,604 : x
  2. Step 2: Convert to fraction form
    149,772/320,604 = 320,604/x
  3. Step 3: Cross multiply
    149,772x = 320,604 × 320,604
  4. Step 4: Simplify right side
    149,772x = 102,786,924,816
  5. Step 5: Solve for x
    x = 102,786,924,816/149,772
  6. Step 6: Final answer
    x = 686,289.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.