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Finding the Third Proportional to 14,511 and 30,921

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Solution

The third proportional to 14,511 and 30,921 is: 65,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511 : 30,921 = 30,921 : x
  2. Step 2: Convert to fraction form
    14,511/30,921 = 30,921/x
  3. Step 3: Cross multiply
    14,511x = 30,921 × 30,921
  4. Step 4: Simplify right side
    14,511x = 956,108,241
  5. Step 5: Solve for x
    x = 956,108,241/14,511
  6. Step 6: Final answer
    x = 65,888.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.