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Finding the Third Proportional to 133,040.25 and 211,795.50

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Solution

The third proportional to 133,040.25 and 211,795.50 is: 337,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040.25 : 211,795.50 = 211,795.50 : x
  2. Step 2: Convert to fraction form
    133,040.25/211,795.50 = 211,795.50/x
  3. Step 3: Cross multiply
    133,040.25x = 211,795.50 × 211,795.50
  4. Step 4: Simplify right side
    133,040.25x = 44,857,333,820.25
  5. Step 5: Solve for x
    x = 44,857,333,820.25/133,040.25
  6. Step 6: Final answer
    x = 337,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.