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Finding the Third Proportional to 857.67 and 1,779.05

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Solution

The third proportional to 857.67 and 1,779.05 is: 3,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,779.05 = 1,779.05 : x
  2. Step 2: Convert to fraction form
    857.67/1,779.05 = 1,779.05/x
  3. Step 3: Cross multiply
    857.67x = 1,779.05 × 1,779.05
  4. Step 4: Simplify right side
    857.67x = 3,165,007.78
  5. Step 5: Solve for x
    x = 3,165,007.78/857.67
  6. Step 6: Final answer
    x = 3,690.23

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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.