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Finding the Third Proportional to 19,758 and 43,205

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Solution

The third proportional to 19,758 and 43,205 is: 94,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 43,205 = 43,205 : x
  2. Step 2: Convert to fraction form
    19,758/43,205 = 43,205/x
  3. Step 3: Cross multiply
    19,758x = 43,205 × 43,205
  4. Step 4: Simplify right side
    19,758x = 1,866,672,025
  5. Step 5: Solve for x
    x = 1,866,672,025/19,758
  6. Step 6: Final answer
    x = 94,476.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.