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Finding the Third Proportional to 3,213 and 6,129

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Solution

The third proportional to 3,213 and 6,129 is: 11,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 6,129 = 6,129 : x
  2. Step 2: Convert to fraction form
    3,213/6,129 = 6,129/x
  3. Step 3: Cross multiply
    3,213x = 6,129 × 6,129
  4. Step 4: Simplify right side
    3,213x = 37,564,641
  5. Step 5: Solve for x
    x = 37,564,641/3,213
  6. Step 6: Final answer
    x = 11,691.45

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.