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Finding the Third Proportional to 131,131.50 and 273,333

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Solution

The third proportional to 131,131.50 and 273,333 is: 569,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,131.50 : 273,333 = 273,333 : x
  2. Step 2: Convert to fraction form
    131,131.50/273,333 = 273,333/x
  3. Step 3: Cross multiply
    131,131.50x = 273,333 × 273,333
  4. Step 4: Simplify right side
    131,131.50x = 74,710,928,889
  5. Step 5: Solve for x
    x = 74,710,928,889/131,131.50
  6. Step 6: Final answer
    x = 569,740.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.