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Finding the Third Proportional to 154,434.50 and 338,393

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Solution

The third proportional to 154,434.50 and 338,393 is: 741,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,434.50 : 338,393 = 338,393 : x
  2. Step 2: Convert to fraction form
    154,434.50/338,393 = 338,393/x
  3. Step 3: Cross multiply
    154,434.50x = 338,393 × 338,393
  4. Step 4: Simplify right side
    154,434.50x = 114,509,822,449
  5. Step 5: Solve for x
    x = 114,509,822,449/154,434.50
  6. Step 6: Final answer
    x = 741,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.