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Finding the Third Proportional to 117,209 and 256,936

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Solution

The third proportional to 117,209 and 256,936 is: 563,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,209 : 256,936 = 256,936 : x
  2. Step 2: Convert to fraction form
    117,209/256,936 = 256,936/x
  3. Step 3: Cross multiply
    117,209x = 256,936 × 256,936
  4. Step 4: Simplify right side
    117,209x = 66,016,108,096
  5. Step 5: Solve for x
    x = 66,016,108,096/117,209
  6. Step 6: Final answer
    x = 563,234.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.