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Finding the Third Proportional to 238,702 and 518,816

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Solution

The third proportional to 238,702 and 518,816 is: 1,127,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,702 : 518,816 = 518,816 : x
  2. Step 2: Convert to fraction form
    238,702/518,816 = 518,816/x
  3. Step 3: Cross multiply
    238,702x = 518,816 × 518,816
  4. Step 4: Simplify right side
    238,702x = 269,170,041,856
  5. Step 5: Solve for x
    x = 269,170,041,856/238,702
  6. Step 6: Final answer
    x = 1,127,640.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.