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Finding the Third Proportional to 307,808 and 659,410

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Solution

The third proportional to 307,808 and 659,410 is: 1,412,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,808 : 659,410 = 659,410 : x
  2. Step 2: Convert to fraction form
    307,808/659,410 = 659,410/x
  3. Step 3: Cross multiply
    307,808x = 659,410 × 659,410
  4. Step 4: Simplify right side
    307,808x = 434,821,548,100
  5. Step 5: Solve for x
    x = 434,821,548,100/307,808
  6. Step 6: Final answer
    x = 1,412,638.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.