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Finding the Third Proportional to 303,106.50 and 441,333

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Solution

The third proportional to 303,106.50 and 441,333 is: 642,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,106.50 : 441,333 = 441,333 : x
  2. Step 2: Convert to fraction form
    303,106.50/441,333 = 441,333/x
  3. Step 3: Cross multiply
    303,106.50x = 441,333 × 441,333
  4. Step 4: Simplify right side
    303,106.50x = 194,774,816,889
  5. Step 5: Solve for x
    x = 194,774,816,889/303,106.50
  6. Step 6: Final answer
    x = 642,595.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.