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Finding the Third Proportional to 4,200 and 7,146

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Solution

The third proportional to 4,200 and 7,146 is: 12,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 7,146 = 7,146 : x
  2. Step 2: Convert to fraction form
    4,200/7,146 = 7,146/x
  3. Step 3: Cross multiply
    4,200x = 7,146 × 7,146
  4. Step 4: Simplify right side
    4,200x = 51,065,316
  5. Step 5: Solve for x
    x = 51,065,316/4,200
  6. Step 6: Final answer
    x = 12,158.41

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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.