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Finding the Third Proportional to 414,469 and 619,137

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Solution

The third proportional to 414,469 and 619,137 is: 924,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469 : 619,137 = 619,137 : x
  2. Step 2: Convert to fraction form
    414,469/619,137 = 619,137/x
  3. Step 3: Cross multiply
    414,469x = 619,137 × 619,137
  4. Step 4: Simplify right side
    414,469x = 383,330,624,769
  5. Step 5: Solve for x
    x = 383,330,624,769/414,469
  6. Step 6: Final answer
    x = 924,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.