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Finding the Third Proportional to 988.69 and 2,120.25

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Solution

The third proportional to 988.69 and 2,120.25 is: 4,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.69 : 2,120.25 = 2,120.25 : x
  2. Step 2: Convert to fraction form
    988.69/2,120.25 = 2,120.25/x
  3. Step 3: Cross multiply
    988.69x = 2,120.25 × 2,120.25
  4. Step 4: Simplify right side
    988.69x = 4,495,460.06
  5. Step 5: Solve for x
    x = 4,495,460.06/988.69
  6. Step 6: Final answer
    x = 4,546.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.