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Finding the Third Proportional to 258,784 and 411,504

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Solution

The third proportional to 258,784 and 411,504 is: 654,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,784 : 411,504 = 411,504 : x
  2. Step 2: Convert to fraction form
    258,784/411,504 = 411,504/x
  3. Step 3: Cross multiply
    258,784x = 411,504 × 411,504
  4. Step 4: Simplify right side
    258,784x = 169,335,542,016
  5. Step 5: Solve for x
    x = 169,335,542,016/258,784
  6. Step 6: Final answer
    x = 654,350.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.