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Finding the Third Proportional to 580,456 and 850,812

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Solution

The third proportional to 580,456 and 850,812 is: 1,247,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,456 : 850,812 = 850,812 : x
  2. Step 2: Convert to fraction form
    580,456/850,812 = 850,812/x
  3. Step 3: Cross multiply
    580,456x = 850,812 × 850,812
  4. Step 4: Simplify right side
    580,456x = 723,881,059,344
  5. Step 5: Solve for x
    x = 723,881,059,344/580,456
  6. Step 6: Final answer
    x = 1,247,090.32

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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.