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Finding the Third Proportional to 135,216 and 253,512

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Solution

The third proportional to 135,216 and 253,512 is: 475,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216 : 253,512 = 253,512 : x
  2. Step 2: Convert to fraction form
    135,216/253,512 = 253,512/x
  3. Step 3: Cross multiply
    135,216x = 253,512 × 253,512
  4. Step 4: Simplify right side
    135,216x = 64,268,334,144
  5. Step 5: Solve for x
    x = 64,268,334,144/135,216
  6. Step 6: Final answer
    x = 475,301.25

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.