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Finding the Third Proportional to 1,779.19 and 4,209.19

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Solution

The third proportional to 1,779.19 and 4,209.19 is: 9,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.19 : 4,209.19 = 4,209.19 : x
  2. Step 2: Convert to fraction form
    1,779.19/4,209.19 = 4,209.19/x
  3. Step 3: Cross multiply
    1,779.19x = 4,209.19 × 4,209.19
  4. Step 4: Simplify right side
    1,779.19x = 17,717,259.41
  5. Step 5: Solve for x
    x = 17,717,259.41/1,779.19
  6. Step 6: Final answer
    x = 9,958.06

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.