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Finding the Third Proportional to 120,798 and 256,212

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Solution

The third proportional to 120,798 and 256,212 is: 543,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,798 : 256,212 = 256,212 : x
  2. Step 2: Convert to fraction form
    120,798/256,212 = 256,212/x
  3. Step 3: Cross multiply
    120,798x = 256,212 × 256,212
  4. Step 4: Simplify right side
    120,798x = 65,644,588,944
  5. Step 5: Solve for x
    x = 65,644,588,944/120,798
  6. Step 6: Final answer
    x = 543,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.