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Finding the Third Proportional to 11,964 and 19,386

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Solution

The third proportional to 11,964 and 19,386 is: 31,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 19,386 = 19,386 : x
  2. Step 2: Convert to fraction form
    11,964/19,386 = 19,386/x
  3. Step 3: Cross multiply
    11,964x = 19,386 × 19,386
  4. Step 4: Simplify right side
    11,964x = 375,816,996
  5. Step 5: Solve for x
    x = 375,816,996/11,964
  6. Step 6: Final answer
    x = 31,412.32

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.