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Finding the Third Proportional to 989.72 and 2,124.98

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Solution

The third proportional to 989.72 and 2,124.98 is: 4,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.72 : 2,124.98 = 2,124.98 : x
  2. Step 2: Convert to fraction form
    989.72/2,124.98 = 2,124.98/x
  3. Step 3: Cross multiply
    989.72x = 2,124.98 × 2,124.98
  4. Step 4: Simplify right side
    989.72x = 4,515,558.59
  5. Step 5: Solve for x
    x = 4,515,558.59/989.72
  6. Step 6: Final answer
    x = 4,562.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.