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Finding the Third Proportional to 149,868 and 320,994

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Solution

The third proportional to 149,868 and 320,994 is: 687,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,868 : 320,994 = 320,994 : x
  2. Step 2: Convert to fraction form
    149,868/320,994 = 320,994/x
  3. Step 3: Cross multiply
    149,868x = 320,994 × 320,994
  4. Step 4: Simplify right side
    149,868x = 103,037,148,036
  5. Step 5: Solve for x
    x = 103,037,148,036/149,868
  6. Step 6: Final answer
    x = 687,519.34

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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.