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Finding the Third Proportional to 258,935 and 387,322

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Solution

The third proportional to 258,935 and 387,322 is: 579,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,935 : 387,322 = 387,322 : x
  2. Step 2: Convert to fraction form
    258,935/387,322 = 387,322/x
  3. Step 3: Cross multiply
    258,935x = 387,322 × 387,322
  4. Step 4: Simplify right side
    258,935x = 150,018,331,684
  5. Step 5: Solve for x
    x = 150,018,331,684/258,935
  6. Step 6: Final answer
    x = 579,366.76

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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.