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Finding the Third Proportional to 6,485 and 7,061

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Solution

The third proportional to 6,485 and 7,061 is: 7,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485 : 7,061 = 7,061 : x
  2. Step 2: Convert to fraction form
    6,485/7,061 = 7,061/x
  3. Step 3: Cross multiply
    6,485x = 7,061 × 7,061
  4. Step 4: Simplify right side
    6,485x = 49,857,721
  5. Step 5: Solve for x
    x = 49,857,721/6,485
  6. Step 6: Final answer
    x = 7,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.