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Finding the Third Proportional to 11,988 and 19,151.44

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Solution

The third proportional to 11,988 and 19,151.44 is: 30,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988 : 19,151.44 = 19,151.44 : x
  2. Step 2: Convert to fraction form
    11,988/19,151.44 = 19,151.44/x
  3. Step 3: Cross multiply
    11,988x = 19,151.44 × 19,151.44
  4. Step 4: Simplify right side
    11,988x = 366,777,558.32
  5. Step 5: Solve for x
    x = 366,777,558.32/11,988
  6. Step 6: Final answer
    x = 30,595.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.