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Finding the Third Proportional to 19,408 and 29,678

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Solution

The third proportional to 19,408 and 29,678 is: 45,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 29,678 = 29,678 : x
  2. Step 2: Convert to fraction form
    19,408/29,678 = 29,678/x
  3. Step 3: Cross multiply
    19,408x = 29,678 × 29,678
  4. Step 4: Simplify right side
    19,408x = 880,783,684
  5. Step 5: Solve for x
    x = 880,783,684/19,408
  6. Step 6: Final answer
    x = 45,382.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.