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Finding the Third Proportional to 989.51 and 1,544.17

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Solution

The third proportional to 989.51 and 1,544.17 is: 2,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.51 : 1,544.17 = 1,544.17 : x
  2. Step 2: Convert to fraction form
    989.51/1,544.17 = 1,544.17/x
  3. Step 3: Cross multiply
    989.51x = 1,544.17 × 1,544.17
  4. Step 4: Simplify right side
    989.51x = 2,384,454.72
  5. Step 5: Solve for x
    x = 2,384,454.72/989.51
  6. Step 6: Final answer
    x = 2,409.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.