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Finding the Third Proportional to 2,810 and 6,485

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Solution

The third proportional to 2,810 and 6,485 is: 14,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810 : 6,485 = 6,485 : x
  2. Step 2: Convert to fraction form
    2,810/6,485 = 6,485/x
  3. Step 3: Cross multiply
    2,810x = 6,485 × 6,485
  4. Step 4: Simplify right side
    2,810x = 42,055,225
  5. Step 5: Solve for x
    x = 42,055,225/2,810
  6. Step 6: Final answer
    x = 14,966.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.