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Finding the Third Proportional to 777.09 and 1,205.03

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Solution

The third proportional to 777.09 and 1,205.03 is: 1,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,205.03 = 1,205.03 : x
  2. Step 2: Convert to fraction form
    777.09/1,205.03 = 1,205.03/x
  3. Step 3: Cross multiply
    777.09x = 1,205.03 × 1,205.03
  4. Step 4: Simplify right side
    777.09x = 1,452,105.02
  5. Step 5: Solve for x
    x = 1,452,105.02/777.09
  6. Step 6: Final answer
    x = 1,868.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.