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Finding the Third Proportional to 414,330 and 639,810

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Solution

The third proportional to 414,330 and 639,810 is: 987,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,330 : 639,810 = 639,810 : x
  2. Step 2: Convert to fraction form
    414,330/639,810 = 639,810/x
  3. Step 3: Cross multiply
    414,330x = 639,810 × 639,810
  4. Step 4: Simplify right side
    414,330x = 409,356,836,100
  5. Step 5: Solve for x
    x = 409,356,836,100/414,330
  6. Step 6: Final answer
    x = 987,997.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.