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Finding the Third Proportional to 799.95 and 1,211.10

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Solution

The third proportional to 799.95 and 1,211.10 is: 1,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.95 : 1,211.10 = 1,211.10 : x
  2. Step 2: Convert to fraction form
    799.95/1,211.10 = 1,211.10/x
  3. Step 3: Cross multiply
    799.95x = 1,211.10 × 1,211.10
  4. Step 4: Simplify right side
    799.95x = 1,466,757.53
  5. Step 5: Solve for x
    x = 1,466,757.53/799.95
  6. Step 6: Final answer
    x = 1,833.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.