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Finding the Third Proportional to 1,779.79 and 3,867.12

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Solution

The third proportional to 1,779.79 and 3,867.12 is: 8,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.79 : 3,867.12 = 3,867.12 : x
  2. Step 2: Convert to fraction form
    1,779.79/3,867.12 = 3,867.12/x
  3. Step 3: Cross multiply
    1,779.79x = 3,867.12 × 3,867.12
  4. Step 4: Simplify right side
    1,779.79x = 14,954,595.34
  5. Step 5: Solve for x
    x = 14,954,595.34/1,779.79
  6. Step 6: Final answer
    x = 8,402.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.