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Finding the Third Proportional to 301,255 and 649,202

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Solution

The third proportional to 301,255 and 649,202 is: 1,399,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255 : 649,202 = 649,202 : x
  2. Step 2: Convert to fraction form
    301,255/649,202 = 649,202/x
  3. Step 3: Cross multiply
    301,255x = 649,202 × 649,202
  4. Step 4: Simplify right side
    301,255x = 421,463,236,804
  5. Step 5: Solve for x
    x = 421,463,236,804/301,255
  6. Step 6: Final answer
    x = 1,399,024.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.