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Finding the Third Proportional to 4,186 and 7,129.50

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Solution

The third proportional to 4,186 and 7,129.50 is: 12,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 7,129.50 = 7,129.50 : x
  2. Step 2: Convert to fraction form
    4,186/7,129.50 = 7,129.50/x
  3. Step 3: Cross multiply
    4,186x = 7,129.50 × 7,129.50
  4. Step 4: Simplify right side
    4,186x = 50,829,770.25
  5. Step 5: Solve for x
    x = 50,829,770.25/4,186
  6. Step 6: Final answer
    x = 12,142.80

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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.