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Finding the Third Proportional to 6,473 and 7,145

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Solution

The third proportional to 6,473 and 7,145 is: 7,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473 : 7,145 = 7,145 : x
  2. Step 2: Convert to fraction form
    6,473/7,145 = 7,145/x
  3. Step 3: Cross multiply
    6,473x = 7,145 × 7,145
  4. Step 4: Simplify right side
    6,473x = 51,051,025
  5. Step 5: Solve for x
    x = 51,051,025/6,473
  6. Step 6: Final answer
    x = 7,886.76

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.