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Finding the Third Proportional to 285,201 and 398,738.25

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Solution

The third proportional to 285,201 and 398,738.25 is: 557,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,201 : 398,738.25 = 398,738.25 : x
  2. Step 2: Convert to fraction form
    285,201/398,738.25 = 398,738.25/x
  3. Step 3: Cross multiply
    285,201x = 398,738.25 × 398,738.25
  4. Step 4: Simplify right side
    285,201x = 158,992,192,013.06
  5. Step 5: Solve for x
    x = 158,992,192,013.06/285,201
  6. Step 6: Final answer
    x = 557,474.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.