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Finding the Third Proportional to 851.53 and 1,205.02

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Solution

The third proportional to 851.53 and 1,205.02 is: 1,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.53 : 1,205.02 = 1,205.02 : x
  2. Step 2: Convert to fraction form
    851.53/1,205.02 = 1,205.02/x
  3. Step 3: Cross multiply
    851.53x = 1,205.02 × 1,205.02
  4. Step 4: Simplify right side
    851.53x = 1,452,062.66
  5. Step 5: Solve for x
    x = 1,452,062.66/851.53
  6. Step 6: Final answer
    x = 1,705.24

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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.