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Finding the Third Proportional to 780.19 and 1,942.31

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Solution

The third proportional to 780.19 and 1,942.31 is: 4,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.19 : 1,942.31 = 1,942.31 : x
  2. Step 2: Convert to fraction form
    780.19/1,942.31 = 1,942.31/x
  3. Step 3: Cross multiply
    780.19x = 1,942.31 × 1,942.31
  4. Step 4: Simplify right side
    780.19x = 3,772,577.85
  5. Step 5: Solve for x
    x = 3,772,577.85/780.19
  6. Step 6: Final answer
    x = 4,835.48

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.