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Finding the Third Proportional to 259,934 and 380,889

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Solution

The third proportional to 259,934 and 380,889 is: 558,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,934 : 380,889 = 380,889 : x
  2. Step 2: Convert to fraction form
    259,934/380,889 = 380,889/x
  3. Step 3: Cross multiply
    259,934x = 380,889 × 380,889
  4. Step 4: Simplify right side
    259,934x = 145,076,430,321
  5. Step 5: Solve for x
    x = 145,076,430,321/259,934
  6. Step 6: Final answer
    x = 558,127.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.