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Finding the Third Proportional to 129,096 and 277,968

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Solution

The third proportional to 129,096 and 277,968 is: 598,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,096 : 277,968 = 277,968 : x
  2. Step 2: Convert to fraction form
    129,096/277,968 = 277,968/x
  3. Step 3: Cross multiply
    129,096x = 277,968 × 277,968
  4. Step 4: Simplify right side
    129,096x = 77,266,209,024
  5. Step 5: Solve for x
    x = 77,266,209,024/129,096
  6. Step 6: Final answer
    x = 598,517.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.