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Finding the Third Proportional to 3,145 and 6,664.63

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Solution

The third proportional to 3,145 and 6,664.63 is: 14,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145 : 6,664.63 = 6,664.63 : x
  2. Step 2: Convert to fraction form
    3,145/6,664.63 = 6,664.63/x
  3. Step 3: Cross multiply
    3,145x = 6,664.63 × 6,664.63
  4. Step 4: Simplify right side
    3,145x = 44,417,226.39
  5. Step 5: Solve for x
    x = 44,417,226.39/3,145
  6. Step 6: Final answer
    x = 14,123.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.