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Finding the Third Proportional to 19,408 and 39,336

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Solution

The third proportional to 19,408 and 39,336 is: 79,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 39,336 = 39,336 : x
  2. Step 2: Convert to fraction form
    19,408/39,336 = 39,336/x
  3. Step 3: Cross multiply
    19,408x = 39,336 × 39,336
  4. Step 4: Simplify right side
    19,408x = 1,547,320,896
  5. Step 5: Solve for x
    x = 1,547,320,896/19,408
  6. Step 6: Final answer
    x = 79,725.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.