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Finding the Third Proportional to 2,310.19 and 4,779.84

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Solution

The third proportional to 2,310.19 and 4,779.84 is: 9,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.19 : 4,779.84 = 4,779.84 : x
  2. Step 2: Convert to fraction form
    2,310.19/4,779.84 = 4,779.84/x
  3. Step 3: Cross multiply
    2,310.19x = 4,779.84 × 4,779.84
  4. Step 4: Simplify right side
    2,310.19x = 22,846,906.27
  5. Step 5: Solve for x
    x = 22,846,906.27/2,310.19
  6. Step 6: Final answer
    x = 9,889.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.