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Finding the Third Proportional to 20,498 and 30,017

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Solution

The third proportional to 20,498 and 30,017 is: 43,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498 : 30,017 = 30,017 : x
  2. Step 2: Convert to fraction form
    20,498/30,017 = 30,017/x
  3. Step 3: Cross multiply
    20,498x = 30,017 × 30,017
  4. Step 4: Simplify right side
    20,498x = 901,020,289
  5. Step 5: Solve for x
    x = 901,020,289/20,498
  6. Step 6: Final answer
    x = 43,956.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.