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Finding the Third Proportional to 289,752.75 and 443,243.25

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Solution

The third proportional to 289,752.75 and 443,243.25 is: 678,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,752.75 : 443,243.25 = 443,243.25 : x
  2. Step 2: Convert to fraction form
    289,752.75/443,243.25 = 443,243.25/x
  3. Step 3: Cross multiply
    289,752.75x = 443,243.25 × 443,243.25
  4. Step 4: Simplify right side
    289,752.75x = 196,464,578,670.56
  5. Step 5: Solve for x
    x = 196,464,578,670.56/289,752.75
  6. Step 6: Final answer
    x = 678,042.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.