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Finding the Third Proportional to 128,785 and 269,326

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Solution

The third proportional to 128,785 and 269,326 is: 563,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,785 : 269,326 = 269,326 : x
  2. Step 2: Convert to fraction form
    128,785/269,326 = 269,326/x
  3. Step 3: Cross multiply
    128,785x = 269,326 × 269,326
  4. Step 4: Simplify right side
    128,785x = 72,536,494,276
  5. Step 5: Solve for x
    x = 72,536,494,276/128,785
  6. Step 6: Final answer
    x = 563,237.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.