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Finding the Third Proportional to 128,861 and 261,345

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Solution

The third proportional to 128,861 and 261,345 is: 530,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,861 : 261,345 = 261,345 : x
  2. Step 2: Convert to fraction form
    128,861/261,345 = 261,345/x
  3. Step 3: Cross multiply
    128,861x = 261,345 × 261,345
  4. Step 4: Simplify right side
    128,861x = 68,301,209,025
  5. Step 5: Solve for x
    x = 68,301,209,025/128,861
  6. Step 6: Final answer
    x = 530,037.86

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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.