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Finding the Third Proportional to 3,633 and 7,787

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Solution

The third proportional to 3,633 and 7,787 is: 16,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633 : 7,787 = 7,787 : x
  2. Step 2: Convert to fraction form
    3,633/7,787 = 7,787/x
  3. Step 3: Cross multiply
    3,633x = 7,787 × 7,787
  4. Step 4: Simplify right side
    3,633x = 60,637,369
  5. Step 5: Solve for x
    x = 60,637,369/3,633
  6. Step 6: Final answer
    x = 16,690.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.