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Finding the Third Proportional to 272,208 and 398,816

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Solution

The third proportional to 272,208 and 398,816 is: 584,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,208 : 398,816 = 398,816 : x
  2. Step 2: Convert to fraction form
    272,208/398,816 = 398,816/x
  3. Step 3: Cross multiply
    272,208x = 398,816 × 398,816
  4. Step 4: Simplify right side
    272,208x = 159,054,201,856
  5. Step 5: Solve for x
    x = 159,054,201,856/272,208
  6. Step 6: Final answer
    x = 584,311.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.