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Finding the Third Proportional to 21,028 and 49,958

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Solution

The third proportional to 21,028 and 49,958 is: 118,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,028 : 49,958 = 49,958 : x
  2. Step 2: Convert to fraction form
    21,028/49,958 = 49,958/x
  3. Step 3: Cross multiply
    21,028x = 49,958 × 49,958
  4. Step 4: Simplify right side
    21,028x = 2,495,801,764
  5. Step 5: Solve for x
    x = 2,495,801,764/21,028
  6. Step 6: Final answer
    x = 118,689.45

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.