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Finding the Third Proportional to 258,122 and 387,291

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Solution

The third proportional to 258,122 and 387,291 is: 581,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,122 : 387,291 = 387,291 : x
  2. Step 2: Convert to fraction form
    258,122/387,291 = 387,291/x
  3. Step 3: Cross multiply
    258,122x = 387,291 × 387,291
  4. Step 4: Simplify right side
    258,122x = 149,994,318,681
  5. Step 5: Solve for x
    x = 149,994,318,681/258,122
  6. Step 6: Final answer
    x = 581,098.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.