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Finding the Third Proportional to 991.69 and 2,168.63

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Solution

The third proportional to 991.69 and 2,168.63 is: 4,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.69 : 2,168.63 = 2,168.63 : x
  2. Step 2: Convert to fraction form
    991.69/2,168.63 = 2,168.63/x
  3. Step 3: Cross multiply
    991.69x = 2,168.63 × 2,168.63
  4. Step 4: Simplify right side
    991.69x = 4,702,934.39
  5. Step 5: Solve for x
    x = 4,702,934.39/991.69
  6. Step 6: Final answer
    x = 4,742.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.