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Finding the Third Proportional to 19,111 and 28,955

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Solution

The third proportional to 19,111 and 28,955 is: 43,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,111 : 28,955 = 28,955 : x
  2. Step 2: Convert to fraction form
    19,111/28,955 = 28,955/x
  3. Step 3: Cross multiply
    19,111x = 28,955 × 28,955
  4. Step 4: Simplify right side
    19,111x = 838,392,025
  5. Step 5: Solve for x
    x = 838,392,025/19,111
  6. Step 6: Final answer
    x = 43,869.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.