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Finding the Third Proportional to 428,044.50 and 640,669.50

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Solution

The third proportional to 428,044.50 and 640,669.50 is: 958,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,044.50 : 640,669.50 = 640,669.50 : x
  2. Step 2: Convert to fraction form
    428,044.50/640,669.50 = 640,669.50/x
  3. Step 3: Cross multiply
    428,044.50x = 640,669.50 × 640,669.50
  4. Step 4: Simplify right side
    428,044.50x = 410,457,408,230.25
  5. Step 5: Solve for x
    x = 410,457,408,230.25/428,044.50
  6. Step 6: Final answer
    x = 958,912.94

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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.