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Finding the Third Proportional to 309,912.75 and 443,647.13

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Solution

The third proportional to 309,912.75 and 443,647.13 is: 635,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912.75 : 443,647.13 = 443,647.13 : x
  2. Step 2: Convert to fraction form
    309,912.75/443,647.13 = 443,647.13/x
  3. Step 3: Cross multiply
    309,912.75x = 443,647.13 × 443,647.13
  4. Step 4: Simplify right side
    309,912.75x = 196,822,771,520.77
  5. Step 5: Solve for x
    x = 196,822,771,520.77/309,912.75
  6. Step 6: Final answer
    x = 635,090.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.