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Finding the Third Proportional to 989.75 and 2,133.13

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Solution

The third proportional to 989.75 and 2,133.13 is: 4,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.75 : 2,133.13 = 2,133.13 : x
  2. Step 2: Convert to fraction form
    989.75/2,133.13 = 2,133.13/x
  3. Step 3: Cross multiply
    989.75x = 2,133.13 × 2,133.13
  4. Step 4: Simplify right side
    989.75x = 4,550,222.27
  5. Step 5: Solve for x
    x = 4,550,222.27/989.75
  6. Step 6: Final answer
    x = 4,597.35

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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.