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Finding the Third Proportional to 906.40 and 1,206.98

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Solution

The third proportional to 906.40 and 1,206.98 is: 1,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.40 : 1,206.98 = 1,206.98 : x
  2. Step 2: Convert to fraction form
    906.40/1,206.98 = 1,206.98/x
  3. Step 3: Cross multiply
    906.40x = 1,206.98 × 1,206.98
  4. Step 4: Simplify right side
    906.40x = 1,456,811.28
  5. Step 5: Solve for x
    x = 1,456,811.28/906.40
  6. Step 6: Final answer
    x = 1,607.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.