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Finding the Third Proportional to 128,863 and 261,349

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Solution

The third proportional to 128,863 and 261,349 is: 530,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,863 : 261,349 = 261,349 : x
  2. Step 2: Convert to fraction form
    128,863/261,349 = 261,349/x
  3. Step 3: Cross multiply
    128,863x = 261,349 × 261,349
  4. Step 4: Simplify right side
    128,863x = 68,303,299,801
  5. Step 5: Solve for x
    x = 68,303,299,801/128,863
  6. Step 6: Final answer
    x = 530,045.86

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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.