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Finding the Third Proportional to 117,246 and 238,638

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Solution

The third proportional to 117,246 and 238,638 is: 485,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,246 : 238,638 = 238,638 : x
  2. Step 2: Convert to fraction form
    117,246/238,638 = 238,638/x
  3. Step 3: Cross multiply
    117,246x = 238,638 × 238,638
  4. Step 4: Simplify right side
    117,246x = 56,948,095,044
  5. Step 5: Solve for x
    x = 56,948,095,044/117,246
  6. Step 6: Final answer
    x = 485,714.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.