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Finding the Third Proportional to 780.50 and 1,539.25

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Solution

The third proportional to 780.50 and 1,539.25 is: 3,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.50 : 1,539.25 = 1,539.25 : x
  2. Step 2: Convert to fraction form
    780.50/1,539.25 = 1,539.25/x
  3. Step 3: Cross multiply
    780.50x = 1,539.25 × 1,539.25
  4. Step 4: Simplify right side
    780.50x = 2,369,290.56
  5. Step 5: Solve for x
    x = 2,369,290.56/780.50
  6. Step 6: Final answer
    x = 3,035.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.