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Finding the Third Proportional to 3,898.55 and 6,931.41

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Solution

The third proportional to 3,898.55 and 6,931.41 is: 12,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.55 : 6,931.41 = 6,931.41 : x
  2. Step 2: Convert to fraction form
    3,898.55/6,931.41 = 6,931.41/x
  3. Step 3: Cross multiply
    3,898.55x = 6,931.41 × 6,931.41
  4. Step 4: Simplify right side
    3,898.55x = 48,044,392.60
  5. Step 5: Solve for x
    x = 48,044,392.60/3,898.55
  6. Step 6: Final answer
    x = 12,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.