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Finding the Third Proportional to 258,062 and 405,525

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Solution

The third proportional to 258,062 and 405,525 is: 637,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,062 : 405,525 = 405,525 : x
  2. Step 2: Convert to fraction form
    258,062/405,525 = 405,525/x
  3. Step 3: Cross multiply
    258,062x = 405,525 × 405,525
  4. Step 4: Simplify right side
    258,062x = 164,450,525,625
  5. Step 5: Solve for x
    x = 164,450,525,625/258,062
  6. Step 6: Final answer
    x = 637,252.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.