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Finding the Third Proportional to 255,846.09 and 397,256.91

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Solution

The third proportional to 255,846.09 and 397,256.91 is: 616,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,846.09 : 397,256.91 = 397,256.91 : x
  2. Step 2: Convert to fraction form
    255,846.09/397,256.91 = 397,256.91/x
  3. Step 3: Cross multiply
    255,846.09x = 397,256.91 × 397,256.91
  4. Step 4: Simplify right side
    255,846.09x = 157,813,049,563.32
  5. Step 5: Solve for x
    x = 157,813,049,563.32/255,846.09
  6. Step 6: Final answer
    x = 616,828.06

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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.