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Finding the Third Proportional to 133,536 and 312,096

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Solution

The third proportional to 133,536 and 312,096 is: 729,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,536 : 312,096 = 312,096 : x
  2. Step 2: Convert to fraction form
    133,536/312,096 = 312,096/x
  3. Step 3: Cross multiply
    133,536x = 312,096 × 312,096
  4. Step 4: Simplify right side
    133,536x = 97,403,913,216
  5. Step 5: Solve for x
    x = 97,403,913,216/133,536
  6. Step 6: Final answer
    x = 729,420.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.