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Finding the Third Proportional to 3,420.56 and 5,438.81

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Solution

The third proportional to 3,420.56 and 5,438.81 is: 8,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.56 : 5,438.81 = 5,438.81 : x
  2. Step 2: Convert to fraction form
    3,420.56/5,438.81 = 5,438.81/x
  3. Step 3: Cross multiply
    3,420.56x = 5,438.81 × 5,438.81
  4. Step 4: Simplify right side
    3,420.56x = 29,580,681.41
  5. Step 5: Solve for x
    x = 29,580,681.41/3,420.56
  6. Step 6: Final answer
    x = 8,647.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.