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Finding the Third Proportional to 128,859 and 261,341

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Solution

The third proportional to 128,859 and 261,341 is: 530,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,859 : 261,341 = 261,341 : x
  2. Step 2: Convert to fraction form
    128,859/261,341 = 261,341/x
  3. Step 3: Cross multiply
    128,859x = 261,341 × 261,341
  4. Step 4: Simplify right side
    128,859x = 68,299,118,281
  5. Step 5: Solve for x
    x = 68,299,118,281/128,859
  6. Step 6: Final answer
    x = 530,029.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.