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Finding the Third Proportional to 135,276 and 288,660

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Solution

The third proportional to 135,276 and 288,660 is: 615,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,276 : 288,660 = 288,660 : x
  2. Step 2: Convert to fraction form
    135,276/288,660 = 288,660/x
  3. Step 3: Cross multiply
    135,276x = 288,660 × 288,660
  4. Step 4: Simplify right side
    135,276x = 83,324,595,600
  5. Step 5: Solve for x
    x = 83,324,595,600/135,276
  6. Step 6: Final answer
    x = 615,959.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.