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Finding the Third Proportional to 991.55 and 2,119.83

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Solution

The third proportional to 991.55 and 2,119.83 is: 4,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.55 : 2,119.83 = 2,119.83 : x
  2. Step 2: Convert to fraction form
    991.55/2,119.83 = 2,119.83/x
  3. Step 3: Cross multiply
    991.55x = 2,119.83 × 2,119.83
  4. Step 4: Simplify right side
    991.55x = 4,493,671.28
  5. Step 5: Solve for x
    x = 4,493,671.28/991.55
  6. Step 6: Final answer
    x = 4,531.98

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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.