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Finding the Third Proportional to 128,746 and 269,252

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Solution

The third proportional to 128,746 and 269,252 is: 563,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,746 : 269,252 = 269,252 : x
  2. Step 2: Convert to fraction form
    128,746/269,252 = 269,252/x
  3. Step 3: Cross multiply
    128,746x = 269,252 × 269,252
  4. Step 4: Simplify right side
    128,746x = 72,496,639,504
  5. Step 5: Solve for x
    x = 72,496,639,504/128,746
  6. Step 6: Final answer
    x = 563,098.19

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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.