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Finding the Third Proportional to 8,826 and 19,430

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Solution

The third proportional to 8,826 and 19,430 is: 42,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826 : 19,430 = 19,430 : x
  2. Step 2: Convert to fraction form
    8,826/19,430 = 19,430/x
  3. Step 3: Cross multiply
    8,826x = 19,430 × 19,430
  4. Step 4: Simplify right side
    8,826x = 377,524,900
  5. Step 5: Solve for x
    x = 377,524,900/8,826
  6. Step 6: Final answer
    x = 42,774.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.