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Finding the Third Proportional to 435,441 and 640,350

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Solution

The third proportional to 435,441 and 640,350 is: 941,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,441 : 640,350 = 640,350 : x
  2. Step 2: Convert to fraction form
    435,441/640,350 = 640,350/x
  3. Step 3: Cross multiply
    435,441x = 640,350 × 640,350
  4. Step 4: Simplify right side
    435,441x = 410,048,122,500
  5. Step 5: Solve for x
    x = 410,048,122,500/435,441
  6. Step 6: Final answer
    x = 941,684.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.