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Finding the Third Proportional to 290,238.19 and 448,297.03

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Solution

The third proportional to 290,238.19 and 448,297.03 is: 692,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,238.19 : 448,297.03 = 448,297.03 : x
  2. Step 2: Convert to fraction form
    290,238.19/448,297.03 = 448,297.03/x
  3. Step 3: Cross multiply
    290,238.19x = 448,297.03 × 448,297.03
  4. Step 4: Simplify right side
    290,238.19x = 200,970,228,227.56
  5. Step 5: Solve for x
    x = 200,970,228,227.56/290,238.19
  6. Step 6: Final answer
    x = 692,432.07

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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.