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Finding the Third Proportional to 6,417 and 6,921

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Solution

The third proportional to 6,417 and 6,921 is: 7,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417 : 6,921 = 6,921 : x
  2. Step 2: Convert to fraction form
    6,417/6,921 = 6,921/x
  3. Step 3: Cross multiply
    6,417x = 6,921 × 6,921
  4. Step 4: Simplify right side
    6,417x = 47,900,241
  5. Step 5: Solve for x
    x = 47,900,241/6,417
  6. Step 6: Final answer
    x = 7,464.58

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1.5x scale

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.