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Finding the Third Proportional to 6,490 and 14,021

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Solution

The third proportional to 6,490 and 14,021 is: 30,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490 : 14,021 = 14,021 : x
  2. Step 2: Convert to fraction form
    6,490/14,021 = 14,021/x
  3. Step 3: Cross multiply
    6,490x = 14,021 × 14,021
  4. Step 4: Simplify right side
    6,490x = 196,588,441
  5. Step 5: Solve for x
    x = 196,588,441/6,490
  6. Step 6: Final answer
    x = 30,290.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.