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Finding the Third Proportional to 7,893 and 13,155

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Solution

The third proportional to 7,893 and 13,155 is: 21,925

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893 : 13,155 = 13,155 : x
  2. Step 2: Convert to fraction form
    7,893/13,155 = 13,155/x
  3. Step 3: Cross multiply
    7,893x = 13,155 × 13,155
  4. Step 4: Simplify right side
    7,893x = 173,054,025
  5. Step 5: Solve for x
    x = 173,054,025/7,893
  6. Step 6: Final answer
    x = 21,925

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.