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Finding the Third Proportional to 418.50 and 989.51

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Solution

The third proportional to 418.50 and 989.51 is: 2,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 989.51 = 989.51 : x
  2. Step 2: Convert to fraction form
    418.50/989.51 = 989.51/x
  3. Step 3: Cross multiply
    418.50x = 989.51 × 989.51
  4. Step 4: Simplify right side
    418.50x = 979,125.71
  5. Step 5: Solve for x
    x = 979,125.71/418.50
  6. Step 6: Final answer
    x = 2,339.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.