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Finding the Third Proportional to 427,821.75 and 640,399.50

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Solution

The third proportional to 427,821.75 and 640,399.50 is: 958,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,821.75 : 640,399.50 = 640,399.50 : x
  2. Step 2: Convert to fraction form
    427,821.75/640,399.50 = 640,399.50/x
  3. Step 3: Cross multiply
    427,821.75x = 640,399.50 × 640,399.50
  4. Step 4: Simplify right side
    427,821.75x = 410,111,519,600.25
  5. Step 5: Solve for x
    x = 410,111,519,600.25/427,821.75
  6. Step 6: Final answer
    x = 958,603.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.