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Finding the Third Proportional to 7,498 and 19,421

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Solution

The third proportional to 7,498 and 19,421 is: 50,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498 : 19,421 = 19,421 : x
  2. Step 2: Convert to fraction form
    7,498/19,421 = 19,421/x
  3. Step 3: Cross multiply
    7,498x = 19,421 × 19,421
  4. Step 4: Simplify right side
    7,498x = 377,175,241
  5. Step 5: Solve for x
    x = 377,175,241/7,498
  6. Step 6: Final answer
    x = 50,303.45

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.