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Finding the Third Proportional to 605.50 and 857.02

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Solution

The third proportional to 605.50 and 857.02 is: 1,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.50 : 857.02 = 857.02 : x
  2. Step 2: Convert to fraction form
    605.50/857.02 = 857.02/x
  3. Step 3: Cross multiply
    605.50x = 857.02 × 857.02
  4. Step 4: Simplify right side
    605.50x = 734,475.78
  5. Step 5: Solve for x
    x = 734,475.78/605.50
  6. Step 6: Final answer
    x = 1,213.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.