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Finding the Third Proportional to 3,664 and 7,784

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Solution

The third proportional to 3,664 and 7,784 is: 16,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 7,784 = 7,784 : x
  2. Step 2: Convert to fraction form
    3,664/7,784 = 7,784/x
  3. Step 3: Cross multiply
    3,664x = 7,784 × 7,784
  4. Step 4: Simplify right side
    3,664x = 60,590,656
  5. Step 5: Solve for x
    x = 60,590,656/3,664
  6. Step 6: Final answer
    x = 16,536.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.