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Finding the Third Proportional to 299,443.50 and 440,401.50

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Solution

The third proportional to 299,443.50 and 440,401.50 is: 647,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,443.50 : 440,401.50 = 440,401.50 : x
  2. Step 2: Convert to fraction form
    299,443.50/440,401.50 = 440,401.50/x
  3. Step 3: Cross multiply
    299,443.50x = 440,401.50 × 440,401.50
  4. Step 4: Simplify right side
    299,443.50x = 193,953,481,202.25
  5. Step 5: Solve for x
    x = 193,953,481,202.25/299,443.50
  6. Step 6: Final answer
    x = 647,713.11

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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.