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Finding the Third Proportional to 12,685 and 27,259.75

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Solution

The third proportional to 12,685 and 27,259.75 is: 58,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685 : 27,259.75 = 27,259.75 : x
  2. Step 2: Convert to fraction form
    12,685/27,259.75 = 27,259.75/x
  3. Step 3: Cross multiply
    12,685x = 27,259.75 × 27,259.75
  4. Step 4: Simplify right side
    12,685x = 743,093,970.06
  5. Step 5: Solve for x
    x = 743,093,970.06/12,685
  6. Step 6: Final answer
    x = 58,580.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.