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Finding the Third Proportional to 133,977 and 208,346.25

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Solution

The third proportional to 133,977 and 208,346.25 is: 323,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977 : 208,346.25 = 208,346.25 : x
  2. Step 2: Convert to fraction form
    133,977/208,346.25 = 208,346.25/x
  3. Step 3: Cross multiply
    133,977x = 208,346.25 × 208,346.25
  4. Step 4: Simplify right side
    133,977x = 43,408,159,889.06
  5. Step 5: Solve for x
    x = 43,408,159,889.06/133,977
  6. Step 6: Final answer
    x = 323,997.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.