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Finding the Third Proportional to 135,236 and 288,564

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Solution

The third proportional to 135,236 and 288,564 is: 615,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,236 : 288,564 = 288,564 : x
  2. Step 2: Convert to fraction form
    135,236/288,564 = 288,564/x
  3. Step 3: Cross multiply
    135,236x = 288,564 × 288,564
  4. Step 4: Simplify right side
    135,236x = 83,269,182,096
  5. Step 5: Solve for x
    x = 83,269,182,096/135,236
  6. Step 6: Final answer
    x = 615,732.36

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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.