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Finding the Third Proportional to 133,545 and 315,246

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Solution

The third proportional to 133,545 and 315,246 is: 744,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,545 : 315,246 = 315,246 : x
  2. Step 2: Convert to fraction form
    133,545/315,246 = 315,246/x
  3. Step 3: Cross multiply
    133,545x = 315,246 × 315,246
  4. Step 4: Simplify right side
    133,545x = 99,380,040,516
  5. Step 5: Solve for x
    x = 99,380,040,516/133,545
  6. Step 6: Final answer
    x = 744,168.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.