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Finding the Third Proportional to 12,678.75 and 18,363.75

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Solution

The third proportional to 12,678.75 and 18,363.75 is: 26,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.75 : 18,363.75 = 18,363.75 : x
  2. Step 2: Convert to fraction form
    12,678.75/18,363.75 = 18,363.75/x
  3. Step 3: Cross multiply
    12,678.75x = 18,363.75 × 18,363.75
  4. Step 4: Simplify right side
    12,678.75x = 337,227,314.06
  5. Step 5: Solve for x
    x = 337,227,314.06/12,678.75
  6. Step 6: Final answer
    x = 26,597.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.