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Finding the Third Proportional to 301,210 and 649,075

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Solution

The third proportional to 301,210 and 649,075 is: 1,398,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,210 : 649,075 = 649,075 : x
  2. Step 2: Convert to fraction form
    301,210/649,075 = 649,075/x
  3. Step 3: Cross multiply
    301,210x = 649,075 × 649,075
  4. Step 4: Simplify right side
    301,210x = 421,298,355,625
  5. Step 5: Solve for x
    x = 421,298,355,625/301,210
  6. Step 6: Final answer
    x = 1,398,686.48

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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.