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Finding the Third Proportional to 238,424 and 517,856

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Solution

The third proportional to 238,424 and 517,856 is: 1,124,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,424 : 517,856 = 517,856 : x
  2. Step 2: Convert to fraction form
    238,424/517,856 = 517,856/x
  3. Step 3: Cross multiply
    238,424x = 517,856 × 517,856
  4. Step 4: Simplify right side
    238,424x = 268,174,836,736
  5. Step 5: Solve for x
    x = 268,174,836,736/238,424
  6. Step 6: Final answer
    x = 1,124,781.22

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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.