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Finding the Third Proportional to 40,289 and 86,408

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Solution

The third proportional to 40,289 and 86,408 is: 185,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,289 : 86,408 = 86,408 : x
  2. Step 2: Convert to fraction form
    40,289/86,408 = 86,408/x
  3. Step 3: Cross multiply
    40,289x = 86,408 × 86,408
  4. Step 4: Simplify right side
    40,289x = 7,466,342,464
  5. Step 5: Solve for x
    x = 7,466,342,464/40,289
  6. Step 6: Final answer
    x = 185,319.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.