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Finding the Third Proportional to 290,238.75 and 448,296.75

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Solution

The third proportional to 290,238.75 and 448,296.75 is: 692,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,238.75 : 448,296.75 = 448,296.75 : x
  2. Step 2: Convert to fraction form
    290,238.75/448,296.75 = 448,296.75/x
  3. Step 3: Cross multiply
    290,238.75x = 448,296.75 × 448,296.75
  4. Step 4: Simplify right side
    290,238.75x = 200,969,976,060.56
  5. Step 5: Solve for x
    x = 200,969,976,060.56/290,238.75
  6. Step 6: Final answer
    x = 692,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.