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Finding the Third Proportional to 612.98 and 1,100.67

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Solution

The third proportional to 612.98 and 1,100.67 is: 1,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.98 : 1,100.67 = 1,100.67 : x
  2. Step 2: Convert to fraction form
    612.98/1,100.67 = 1,100.67/x
  3. Step 3: Cross multiply
    612.98x = 1,100.67 × 1,100.67
  4. Step 4: Simplify right side
    612.98x = 1,211,478.58
  5. Step 5: Solve for x
    x = 1,211,478.58/612.98
  6. Step 6: Final answer
    x = 1,976.36

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.