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Finding the Third Proportional to 290,505 and 440,104.50

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Solution

The third proportional to 290,505 and 440,104.50 is: 666,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,505 : 440,104.50 = 440,104.50 : x
  2. Step 2: Convert to fraction form
    290,505/440,104.50 = 440,104.50/x
  3. Step 3: Cross multiply
    290,505x = 440,104.50 × 440,104.50
  4. Step 4: Simplify right side
    290,505x = 193,691,970,920.25
  5. Step 5: Solve for x
    x = 193,691,970,920.25/290,505
  6. Step 6: Final answer
    x = 666,742.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.