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Finding the Third Proportional to 946.77 and 1,980.53

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Solution

The third proportional to 946.77 and 1,980.53 is: 4,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.77 : 1,980.53 = 1,980.53 : x
  2. Step 2: Convert to fraction form
    946.77/1,980.53 = 1,980.53/x
  3. Step 3: Cross multiply
    946.77x = 1,980.53 × 1,980.53
  4. Step 4: Simplify right side
    946.77x = 3,922,504.03
  5. Step 5: Solve for x
    x = 3,922,504.03/946.77
  6. Step 6: Final answer
    x = 4,143.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.