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Finding the Third Proportional to 258,916 and 349,811

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Solution

The third proportional to 258,916 and 349,811 is: 472,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,916 : 349,811 = 349,811 : x
  2. Step 2: Convert to fraction form
    258,916/349,811 = 349,811/x
  3. Step 3: Cross multiply
    258,916x = 349,811 × 349,811
  4. Step 4: Simplify right side
    258,916x = 122,367,735,721
  5. Step 5: Solve for x
    x = 122,367,735,721/258,916
  6. Step 6: Final answer
    x = 472,615.58

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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.