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Finding the Third Proportional to 258,744 and 411,444

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Solution

The third proportional to 258,744 and 411,444 is: 654,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,744 : 411,444 = 411,444 : x
  2. Step 2: Convert to fraction form
    258,744/411,444 = 411,444/x
  3. Step 3: Cross multiply
    258,744x = 411,444 × 411,444
  4. Step 4: Simplify right side
    258,744x = 169,286,165,136
  5. Step 5: Solve for x
    x = 169,286,165,136/258,744
  6. Step 6: Final answer
    x = 654,261.22

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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.