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Finding the Third Proportional to 427,819.50 and 640,395

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Solution

The third proportional to 427,819.50 and 640,395 is: 958,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,819.50 : 640,395 = 640,395 : x
  2. Step 2: Convert to fraction form
    427,819.50/640,395 = 640,395/x
  3. Step 3: Cross multiply
    427,819.50x = 640,395 × 640,395
  4. Step 4: Simplify right side
    427,819.50x = 410,105,756,025
  5. Step 5: Solve for x
    x = 410,105,756,025/427,819.50
  6. Step 6: Final answer
    x = 958,595.29

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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.