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Finding the Third Proportional to 149,420 and 320,983

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Solution

The third proportional to 149,420 and 320,983 is: 689,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,420 : 320,983 = 320,983 : x
  2. Step 2: Convert to fraction form
    149,420/320,983 = 320,983/x
  3. Step 3: Cross multiply
    149,420x = 320,983 × 320,983
  4. Step 4: Simplify right side
    149,420x = 103,030,086,289
  5. Step 5: Solve for x
    x = 103,030,086,289/149,420
  6. Step 6: Final answer
    x = 689,533.44

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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.