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Finding the Third Proportional to 10,520 and 11,984

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Solution

The third proportional to 10,520 and 11,984 is: 13,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520 : 11,984 = 11,984 : x
  2. Step 2: Convert to fraction form
    10,520/11,984 = 11,984/x
  3. Step 3: Cross multiply
    10,520x = 11,984 × 11,984
  4. Step 4: Simplify right side
    10,520x = 143,616,256
  5. Step 5: Solve for x
    x = 143,616,256/10,520
  6. Step 6: Final answer
    x = 13,651.74

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.