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Finding the Third Proportional to 67,296 and 143,408

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Solution

The third proportional to 67,296 and 143,408 is: 305,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296 : 143,408 = 143,408 : x
  2. Step 2: Convert to fraction form
    67,296/143,408 = 143,408/x
  3. Step 3: Cross multiply
    67,296x = 143,408 × 143,408
  4. Step 4: Simplify right side
    67,296x = 20,565,854,464
  5. Step 5: Solve for x
    x = 20,565,854,464/67,296
  6. Step 6: Final answer
    x = 305,602.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.