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Finding the Third Proportional to 989.13 and 2,136.88

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Solution

The third proportional to 989.13 and 2,136.88 is: 4,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.13 : 2,136.88 = 2,136.88 : x
  2. Step 2: Convert to fraction form
    989.13/2,136.88 = 2,136.88/x
  3. Step 3: Cross multiply
    989.13x = 2,136.88 × 2,136.88
  4. Step 4: Simplify right side
    989.13x = 4,566,234.77
  5. Step 5: Solve for x
    x = 4,566,234.77/989.13
  6. Step 6: Final answer
    x = 4,616.44

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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.