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Finding the Third Proportional to 3,735 and 7,707

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Solution

The third proportional to 3,735 and 7,707 is: 15,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735 : 7,707 = 7,707 : x
  2. Step 2: Convert to fraction form
    3,735/7,707 = 7,707/x
  3. Step 3: Cross multiply
    3,735x = 7,707 × 7,707
  4. Step 4: Simplify right side
    3,735x = 59,397,849
  5. Step 5: Solve for x
    x = 59,397,849/3,735
  6. Step 6: Final answer
    x = 15,903.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.