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Finding the Third Proportional to 7,205 and 7,817

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Solution

The third proportional to 7,205 and 7,817 is: 8,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205 : 7,817 = 7,817 : x
  2. Step 2: Convert to fraction form
    7,205/7,817 = 7,817/x
  3. Step 3: Cross multiply
    7,205x = 7,817 × 7,817
  4. Step 4: Simplify right side
    7,205x = 61,105,489
  5. Step 5: Solve for x
    x = 61,105,489/7,205
  6. Step 6: Final answer
    x = 8,480.98

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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.