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Finding the Third Proportional to 290,279.50 and 439,793.50

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Solution

The third proportional to 290,279.50 and 439,793.50 is: 666,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,279.50 : 439,793.50 = 439,793.50 : x
  2. Step 2: Convert to fraction form
    290,279.50/439,793.50 = 439,793.50/x
  3. Step 3: Cross multiply
    290,279.50x = 439,793.50 × 439,793.50
  4. Step 4: Simplify right side
    290,279.50x = 193,418,322,642.25
  5. Step 5: Solve for x
    x = 193,418,322,642.25/290,279.50
  6. Step 6: Final answer
    x = 666,317.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.