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Finding the Third Proportional to 123,284 and 252,408

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Solution

The third proportional to 123,284 and 252,408 is: 516,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,284 : 252,408 = 252,408 : x
  2. Step 2: Convert to fraction form
    123,284/252,408 = 252,408/x
  3. Step 3: Cross multiply
    123,284x = 252,408 × 252,408
  4. Step 4: Simplify right side
    123,284x = 63,709,798,464
  5. Step 5: Solve for x
    x = 63,709,798,464/123,284
  6. Step 6: Final answer
    x = 516,772.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.