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Finding the Third Proportional to 2,990.40 and 4,923.60

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Solution

The third proportional to 2,990.40 and 4,923.60 is: 8,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.40 : 4,923.60 = 4,923.60 : x
  2. Step 2: Convert to fraction form
    2,990.40/4,923.60 = 4,923.60/x
  3. Step 3: Cross multiply
    2,990.40x = 4,923.60 × 4,923.60
  4. Step 4: Simplify right side
    2,990.40x = 24,241,813.88
  5. Step 5: Solve for x
    x = 24,241,813.88/2,990.40
  6. Step 6: Final answer
    x = 8,106.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.