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Finding the Third Proportional to 10,155 and 11,307

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Solution

The third proportional to 10,155 and 11,307 is: 12,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155 : 11,307 = 11,307 : x
  2. Step 2: Convert to fraction form
    10,155/11,307 = 11,307/x
  3. Step 3: Cross multiply
    10,155x = 11,307 × 11,307
  4. Step 4: Simplify right side
    10,155x = 127,848,249
  5. Step 5: Solve for x
    x = 127,848,249/10,155
  6. Step 6: Final answer
    x = 12,589.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.