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Finding the Third Proportional to 258,947 and 349,858

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Solution

The third proportional to 258,947 and 349,858 is: 472,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,947 : 349,858 = 349,858 : x
  2. Step 2: Convert to fraction form
    258,947/349,858 = 349,858/x
  3. Step 3: Cross multiply
    258,947x = 349,858 × 349,858
  4. Step 4: Simplify right side
    258,947x = 122,400,620,164
  5. Step 5: Solve for x
    x = 122,400,620,164/258,947
  6. Step 6: Final answer
    x = 472,685.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.