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Finding the Third Proportional to 12,275 and 25,643

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Solution

The third proportional to 12,275 and 25,643 is: 53,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275 : 25,643 = 25,643 : x
  2. Step 2: Convert to fraction form
    12,275/25,643 = 25,643/x
  3. Step 3: Cross multiply
    12,275x = 25,643 × 25,643
  4. Step 4: Simplify right side
    12,275x = 657,563,449
  5. Step 5: Solve for x
    x = 657,563,449/12,275
  6. Step 6: Final answer
    x = 53,569.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.