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Finding the Third Proportional to 300,121.50 and 457,804.50

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Solution

The third proportional to 300,121.50 and 457,804.50 is: 698,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,121.50 : 457,804.50 = 457,804.50 : x
  2. Step 2: Convert to fraction form
    300,121.50/457,804.50 = 457,804.50/x
  3. Step 3: Cross multiply
    300,121.50x = 457,804.50 × 457,804.50
  4. Step 4: Simplify right side
    300,121.50x = 209,584,960,220.25
  5. Step 5: Solve for x
    x = 209,584,960,220.25/300,121.50
  6. Step 6: Final answer
    x = 698,333.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.