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Finding the Third Proportional to 989.63 and 2,136.19

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Solution

The third proportional to 989.63 and 2,136.19 is: 4,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.63 : 2,136.19 = 2,136.19 : x
  2. Step 2: Convert to fraction form
    989.63/2,136.19 = 2,136.19/x
  3. Step 3: Cross multiply
    989.63x = 2,136.19 × 2,136.19
  4. Step 4: Simplify right side
    989.63x = 4,563,297.04
  5. Step 5: Solve for x
    x = 4,563,297.04/989.63
  6. Step 6: Final answer
    x = 4,611.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.