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Finding the Third Proportional to 906.62 and 1,399.98

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Solution

The third proportional to 906.62 and 1,399.98 is: 2,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.62 : 1,399.98 = 1,399.98 : x
  2. Step 2: Convert to fraction form
    906.62/1,399.98 = 1,399.98/x
  3. Step 3: Cross multiply
    906.62x = 1,399.98 × 1,399.98
  4. Step 4: Simplify right side
    906.62x = 1,959,941.21
  5. Step 5: Solve for x
    x = 1,959,941.21/906.62
  6. Step 6: Final answer
    x = 2,161.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.