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Finding the Third Proportional to 123,328 and 255,406

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Solution

The third proportional to 123,328 and 255,406 is: 528,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,328 : 255,406 = 255,406 : x
  2. Step 2: Convert to fraction form
    123,328/255,406 = 255,406/x
  3. Step 3: Cross multiply
    123,328x = 255,406 × 255,406
  4. Step 4: Simplify right side
    123,328x = 65,232,224,836
  5. Step 5: Solve for x
    x = 65,232,224,836/123,328
  6. Step 6: Final answer
    x = 528,932.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.