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Finding the Third Proportional to 5,972 and 6,420

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Solution

The third proportional to 5,972 and 6,420 is: 6,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 6,420 = 6,420 : x
  2. Step 2: Convert to fraction form
    5,972/6,420 = 6,420/x
  3. Step 3: Cross multiply
    5,972x = 6,420 × 6,420
  4. Step 4: Simplify right side
    5,972x = 41,216,400
  5. Step 5: Solve for x
    x = 41,216,400/5,972
  6. Step 6: Final answer
    x = 6,901.61

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.