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Finding the Third Proportional to 135,216 and 298,080

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Solution

The third proportional to 135,216 and 298,080 is: 657,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216 : 298,080 = 298,080 : x
  2. Step 2: Convert to fraction form
    135,216/298,080 = 298,080/x
  3. Step 3: Cross multiply
    135,216x = 298,080 × 298,080
  4. Step 4: Simplify right side
    135,216x = 88,851,686,400
  5. Step 5: Solve for x
    x = 88,851,686,400/135,216
  6. Step 6: Final answer
    x = 657,109.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.