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Finding the Third Proportional to 991.38 and 2,148.63

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Solution

The third proportional to 991.38 and 2,148.63 is: 4,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.38 : 2,148.63 = 2,148.63 : x
  2. Step 2: Convert to fraction form
    991.38/2,148.63 = 2,148.63/x
  3. Step 3: Cross multiply
    991.38x = 2,148.63 × 2,148.63
  4. Step 4: Simplify right side
    991.38x = 4,616,589.39
  5. Step 5: Solve for x
    x = 4,616,589.39/991.38
  6. Step 6: Final answer
    x = 4,656.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.