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Finding the Third Proportional to 5,421 and 10,707

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Solution

The third proportional to 5,421 and 10,707 is: 21,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421 : 10,707 = 10,707 : x
  2. Step 2: Convert to fraction form
    5,421/10,707 = 10,707/x
  3. Step 3: Cross multiply
    5,421x = 10,707 × 10,707
  4. Step 4: Simplify right side
    5,421x = 114,639,849
  5. Step 5: Solve for x
    x = 114,639,849/5,421
  6. Step 6: Final answer
    x = 21,147.36

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.