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Finding the Third Proportional to 4,212 and 7,146

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Solution

The third proportional to 4,212 and 7,146 is: 12,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 7,146 = 7,146 : x
  2. Step 2: Convert to fraction form
    4,212/7,146 = 7,146/x
  3. Step 3: Cross multiply
    4,212x = 7,146 × 7,146
  4. Step 4: Simplify right side
    4,212x = 51,065,316
  5. Step 5: Solve for x
    x = 51,065,316/4,212
  6. Step 6: Final answer
    x = 12,123.77

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.