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Finding the Third Proportional to 123,375 and 255,489

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Solution

The third proportional to 123,375 and 255,489 is: 529,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,375 : 255,489 = 255,489 : x
  2. Step 2: Convert to fraction form
    123,375/255,489 = 255,489/x
  3. Step 3: Cross multiply
    123,375x = 255,489 × 255,489
  4. Step 4: Simplify right side
    123,375x = 65,274,629,121
  5. Step 5: Solve for x
    x = 65,274,629,121/123,375
  6. Step 6: Final answer
    x = 529,075.01

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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.