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Finding the Third Proportional to 616.99 and 857.04

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Solution

The third proportional to 616.99 and 857.04 is: 1,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.99 : 857.04 = 857.04 : x
  2. Step 2: Convert to fraction form
    616.99/857.04 = 857.04/x
  3. Step 3: Cross multiply
    616.99x = 857.04 × 857.04
  4. Step 4: Simplify right side
    616.99x = 734,515.95
  5. Step 5: Solve for x
    x = 734,515.95/616.99
  6. Step 6: Final answer
    x = 1,190.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.