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Finding the Third Proportional to 301,072.57 and 649,144.76

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Solution

The third proportional to 301,072.57 and 649,144.76 is: 1,399,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,072.57 : 649,144.76 = 649,144.76 : x
  2. Step 2: Convert to fraction form
    301,072.57/649,144.76 = 649,144.76/x
  3. Step 3: Cross multiply
    301,072.57x = 649,144.76 × 649,144.76
  4. Step 4: Simplify right side
    301,072.57x = 421,388,916,595.45
  5. Step 5: Solve for x
    x = 421,388,916,595.45/301,072.57
  6. Step 6: Final answer
    x = 1,399,625.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.