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Finding the Third Proportional to 414,342 and 639,828

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Solution

The third proportional to 414,342 and 639,828 is: 988,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,342 : 639,828 = 639,828 : x
  2. Step 2: Convert to fraction form
    414,342/639,828 = 639,828/x
  3. Step 3: Cross multiply
    414,342x = 639,828 × 639,828
  4. Step 4: Simplify right side
    414,342x = 409,379,869,584
  5. Step 5: Solve for x
    x = 409,379,869,584/414,342
  6. Step 6: Final answer
    x = 988,024.07

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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.