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Finding the Third Proportional to 259,845 and 561,138

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Solution

The third proportional to 259,845 and 561,138 is: 1,211,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,845 : 561,138 = 561,138 : x
  2. Step 2: Convert to fraction form
    259,845/561,138 = 561,138/x
  3. Step 3: Cross multiply
    259,845x = 561,138 × 561,138
  4. Step 4: Simplify right side
    259,845x = 314,875,855,044
  5. Step 5: Solve for x
    x = 314,875,855,044/259,845
  6. Step 6: Final answer
    x = 1,211,783.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.