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Finding the Third Proportional to 51,108 and 109,988

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Solution

The third proportional to 51,108 and 109,988 is: 236,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108 : 109,988 = 109,988 : x
  2. Step 2: Convert to fraction form
    51,108/109,988 = 109,988/x
  3. Step 3: Cross multiply
    51,108x = 109,988 × 109,988
  4. Step 4: Simplify right side
    51,108x = 12,097,360,144
  5. Step 5: Solve for x
    x = 12,097,360,144/51,108
  6. Step 6: Final answer
    x = 236,701.89

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