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Finding the Third Proportional to 8,945 and 19,429

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Solution

The third proportional to 8,945 and 19,429 is: 42,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945 : 19,429 = 19,429 : x
  2. Step 2: Convert to fraction form
    8,945/19,429 = 19,429/x
  3. Step 3: Cross multiply
    8,945x = 19,429 × 19,429
  4. Step 4: Simplify right side
    8,945x = 377,486,041
  5. Step 5: Solve for x
    x = 377,486,041/8,945
  6. Step 6: Final answer
    x = 42,200.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.