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Finding the Third Proportional to 300,461 and 609,219

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Solution

The third proportional to 300,461 and 609,219 is: 1,235,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,461 : 609,219 = 609,219 : x
  2. Step 2: Convert to fraction form
    300,461/609,219 = 609,219/x
  3. Step 3: Cross multiply
    300,461x = 609,219 × 609,219
  4. Step 4: Simplify right side
    300,461x = 371,147,789,961
  5. Step 5: Solve for x
    x = 371,147,789,961/300,461
  6. Step 6: Final answer
    x = 1,235,261.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.