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Finding the Third Proportional to 405,454.50 and 621,919.50

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Solution

The third proportional to 405,454.50 and 621,919.50 is: 953,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,454.50 : 621,919.50 = 621,919.50 : x
  2. Step 2: Convert to fraction form
    405,454.50/621,919.50 = 621,919.50/x
  3. Step 3: Cross multiply
    405,454.50x = 621,919.50 × 621,919.50
  4. Step 4: Simplify right side
    405,454.50x = 386,783,864,480.25
  5. Step 5: Solve for x
    x = 386,783,864,480.25/405,454.50
  6. Step 6: Final answer
    x = 953,951.34

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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.