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Finding the Third Proportional to 7,787 and 12,023

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Solution

The third proportional to 7,787 and 12,023 is: 18,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787 : 12,023 = 12,023 : x
  2. Step 2: Convert to fraction form
    7,787/12,023 = 12,023/x
  3. Step 3: Cross multiply
    7,787x = 12,023 × 12,023
  4. Step 4: Simplify right side
    7,787x = 144,552,529
  5. Step 5: Solve for x
    x = 144,552,529/7,787
  6. Step 6: Final answer
    x = 18,563.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.