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Finding the Third Proportional to 149,109 and 320,464

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Solution

The third proportional to 149,109 and 320,464 is: 688,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,109 : 320,464 = 320,464 : x
  2. Step 2: Convert to fraction form
    149,109/320,464 = 320,464/x
  3. Step 3: Cross multiply
    149,109x = 320,464 × 320,464
  4. Step 4: Simplify right side
    149,109x = 102,697,175,296
  5. Step 5: Solve for x
    x = 102,697,175,296/149,109
  6. Step 6: Final answer
    x = 688,738.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.