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Finding the Third Proportional to 12,258.84 and 18,867.94

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Solution

The third proportional to 12,258.84 and 18,867.94 is: 29,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.84 : 18,867.94 = 18,867.94 : x
  2. Step 2: Convert to fraction form
    12,258.84/18,867.94 = 18,867.94/x
  3. Step 3: Cross multiply
    12,258.84x = 18,867.94 × 18,867.94
  4. Step 4: Simplify right side
    12,258.84x = 355,999,065.50
  5. Step 5: Solve for x
    x = 355,999,065.50/12,258.84
  6. Step 6: Final answer
    x = 29,040.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.