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Finding the Third Proportional to 259,846 and 561,140

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Solution

The third proportional to 259,846 and 561,140 is: 1,211,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,846 : 561,140 = 561,140 : x
  2. Step 2: Convert to fraction form
    259,846/561,140 = 561,140/x
  3. Step 3: Cross multiply
    259,846x = 561,140 × 561,140
  4. Step 4: Simplify right side
    259,846x = 314,878,099,600
  5. Step 5: Solve for x
    x = 314,878,099,600/259,846
  6. Step 6: Final answer
    x = 1,211,787.36

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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.