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Finding the Third Proportional to 258,252 and 391,272

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Solution

The third proportional to 258,252 and 391,272 is: 592,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,252 : 391,272 = 391,272 : x
  2. Step 2: Convert to fraction form
    258,252/391,272 = 391,272/x
  3. Step 3: Cross multiply
    258,252x = 391,272 × 391,272
  4. Step 4: Simplify right side
    258,252x = 153,093,777,984
  5. Step 5: Solve for x
    x = 153,093,777,984/258,252
  6. Step 6: Final answer
    x = 592,807.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.