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Finding the Third Proportional to 631,308 and 850,570

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Solution

The third proportional to 631,308 and 850,570 is: 1,145,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,308 : 850,570 = 850,570 : x
  2. Step 2: Convert to fraction form
    631,308/850,570 = 850,570/x
  3. Step 3: Cross multiply
    631,308x = 850,570 × 850,570
  4. Step 4: Simplify right side
    631,308x = 723,469,324,900
  5. Step 5: Solve for x
    x = 723,469,324,900/631,308
  6. Step 6: Final answer
    x = 1,145,984.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.