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Finding the Third Proportional to 291,343.50 and 640,503.50

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Solution

The third proportional to 291,343.50 and 640,503.50 is: 1,408,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,343.50 : 640,503.50 = 640,503.50 : x
  2. Step 2: Convert to fraction form
    291,343.50/640,503.50 = 640,503.50/x
  3. Step 3: Cross multiply
    291,343.50x = 640,503.50 × 640,503.50
  4. Step 4: Simplify right side
    291,343.50x = 410,244,733,512.25
  5. Step 5: Solve for x
    x = 410,244,733,512.25/291,343.50
  6. Step 6: Final answer
    x = 1,408,113.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.