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Finding the Third Proportional to 258,112 and 398,816

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Solution

The third proportional to 258,112 and 398,816 is: 616,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,112 : 398,816 = 398,816 : x
  2. Step 2: Convert to fraction form
    258,112/398,816 = 398,816/x
  3. Step 3: Cross multiply
    258,112x = 398,816 × 398,816
  4. Step 4: Simplify right side
    258,112x = 159,054,201,856
  5. Step 5: Solve for x
    x = 159,054,201,856/258,112
  6. Step 6: Final answer
    x = 616,221.65

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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.