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Finding the Third Proportional to 300,121.88 and 457,804.41

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Solution

The third proportional to 300,121.88 and 457,804.41 is: 698,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,121.88 : 457,804.41 = 457,804.41 : x
  2. Step 2: Convert to fraction form
    300,121.88/457,804.41 = 457,804.41/x
  3. Step 3: Cross multiply
    300,121.88x = 457,804.41 × 457,804.41
  4. Step 4: Simplify right side
    300,121.88x = 209,584,874,381.92
  5. Step 5: Solve for x
    x = 209,584,874,381.92/300,121.88
  6. Step 6: Final answer
    x = 698,332.55

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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.