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Finding the Third Proportional to 11,970 and 19,880.63

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Solution

The third proportional to 11,970 and 19,880.63 is: 33,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 19,880.63 = 19,880.63 : x
  2. Step 2: Convert to fraction form
    11,970/19,880.63 = 19,880.63/x
  3. Step 3: Cross multiply
    11,970x = 19,880.63 × 19,880.63
  4. Step 4: Simplify right side
    11,970x = 395,239,250.39
  5. Step 5: Solve for x
    x = 395,239,250.39/11,970
  6. Step 6: Final answer
    x = 33,019.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.