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Finding the Third Proportional to 256,054.88 and 397,834.69

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Solution

The third proportional to 256,054.88 and 397,834.69 is: 618,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,054.88 : 397,834.69 = 397,834.69 : x
  2. Step 2: Convert to fraction form
    256,054.88/397,834.69 = 397,834.69/x
  3. Step 3: Cross multiply
    256,054.88x = 397,834.69 × 397,834.69
  4. Step 4: Simplify right side
    256,054.88x = 158,272,438,578.22
  5. Step 5: Solve for x
    x = 158,272,438,578.22/256,054.88
  6. Step 6: Final answer
    x = 618,119.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.