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Finding the Third Proportional to 3,421.46 and 7,376.85

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Solution

The third proportional to 3,421.46 and 7,376.85 is: 15,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.46 : 7,376.85 = 7,376.85 : x
  2. Step 2: Convert to fraction form
    3,421.46/7,376.85 = 7,376.85/x
  3. Step 3: Cross multiply
    3,421.46x = 7,376.85 × 7,376.85
  4. Step 4: Simplify right side
    3,421.46x = 54,417,967.79
  5. Step 5: Solve for x
    x = 54,417,967.79/3,421.46
  6. Step 6: Final answer
    x = 15,904.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.