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Finding the Third Proportional to 1,393.93 and 2,157.10

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Solution

The third proportional to 1,393.93 and 2,157.10 is: 3,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.93 : 2,157.10 = 2,157.10 : x
  2. Step 2: Convert to fraction form
    1,393.93/2,157.10 = 2,157.10/x
  3. Step 3: Cross multiply
    1,393.93x = 2,157.10 × 2,157.10
  4. Step 4: Simplify right side
    1,393.93x = 4,653,078.72
  5. Step 5: Solve for x
    x = 4,653,078.72/1,393.93
  6. Step 6: Final answer
    x = 3,338.11

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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.