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Finding the Third Proportional to 122,569 and 256,369

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Solution

The third proportional to 122,569 and 256,369 is: 536,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,569 : 256,369 = 256,369 : x
  2. Step 2: Convert to fraction form
    122,569/256,369 = 256,369/x
  3. Step 3: Cross multiply
    122,569x = 256,369 × 256,369
  4. Step 4: Simplify right side
    122,569x = 65,725,064,161
  5. Step 5: Solve for x
    x = 65,725,064,161/122,569
  6. Step 6: Final answer
    x = 536,229.10

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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.