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Finding the Third Proportional to 258,947 and 397,442

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Solution

The third proportional to 258,947 and 397,442 is: 610,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,947 : 397,442 = 397,442 : x
  2. Step 2: Convert to fraction form
    258,947/397,442 = 397,442/x
  3. Step 3: Cross multiply
    258,947x = 397,442 × 397,442
  4. Step 4: Simplify right side
    258,947x = 157,960,143,364
  5. Step 5: Solve for x
    x = 157,960,143,364/258,947
  6. Step 6: Final answer
    x = 610,009.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.