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Finding the Third Proportional to 2,920.70 and 6,406.86

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Solution

The third proportional to 2,920.70 and 6,406.86 is: 14,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.70 : 6,406.86 = 6,406.86 : x
  2. Step 2: Convert to fraction form
    2,920.70/6,406.86 = 6,406.86/x
  3. Step 3: Cross multiply
    2,920.70x = 6,406.86 × 6,406.86
  4. Step 4: Simplify right side
    2,920.70x = 41,047,847.05
  5. Step 5: Solve for x
    x = 41,047,847.05/2,920.70
  6. Step 6: Final answer
    x = 14,054.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.