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Finding the Third Proportional to 4,155.50 and 6,406.75

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Solution

The third proportional to 4,155.50 and 6,406.75 is: 9,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.50 : 6,406.75 = 6,406.75 : x
  2. Step 2: Convert to fraction form
    4,155.50/6,406.75 = 6,406.75/x
  3. Step 3: Cross multiply
    4,155.50x = 6,406.75 × 6,406.75
  4. Step 4: Simplify right side
    4,155.50x = 41,046,445.56
  5. Step 5: Solve for x
    x = 41,046,445.56/4,155.50
  6. Step 6: Final answer
    x = 9,877.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.