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Finding the Third Proportional to 3,912 and 6,484.50

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Solution

The third proportional to 3,912 and 6,484.50 is: 10,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 6,484.50 = 6,484.50 : x
  2. Step 2: Convert to fraction form
    3,912/6,484.50 = 6,484.50/x
  3. Step 3: Cross multiply
    3,912x = 6,484.50 × 6,484.50
  4. Step 4: Simplify right side
    3,912x = 42,048,740.25
  5. Step 5: Solve for x
    x = 42,048,740.25/3,912
  6. Step 6: Final answer
    x = 10,748.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.