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Finding the Third Proportional to 17,408 and 36,886

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Solution

The third proportional to 17,408 and 36,886 is: 78,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408 : 36,886 = 36,886 : x
  2. Step 2: Convert to fraction form
    17,408/36,886 = 36,886/x
  3. Step 3: Cross multiply
    17,408x = 36,886 × 36,886
  4. Step 4: Simplify right side
    17,408x = 1,360,576,996
  5. Step 5: Solve for x
    x = 1,360,576,996/17,408
  6. Step 6: Final answer
    x = 78,158.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.