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Finding the Third Proportional to 2,947.50 and 4,056.19

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Solution

The third proportional to 2,947.50 and 4,056.19 is: 5,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.50 : 4,056.19 = 4,056.19 : x
  2. Step 2: Convert to fraction form
    2,947.50/4,056.19 = 4,056.19/x
  3. Step 3: Cross multiply
    2,947.50x = 4,056.19 × 4,056.19
  4. Step 4: Simplify right side
    2,947.50x = 16,452,657.04
  5. Step 5: Solve for x
    x = 16,452,657.04/2,947.50
  6. Step 6: Final answer
    x = 5,581.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.