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Finding the Third Proportional to 415,152 and 642,096

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Solution

The third proportional to 415,152 and 642,096 is: 993,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,152 : 642,096 = 642,096 : x
  2. Step 2: Convert to fraction form
    415,152/642,096 = 642,096/x
  3. Step 3: Cross multiply
    415,152x = 642,096 × 642,096
  4. Step 4: Simplify right side
    415,152x = 412,287,273,216
  5. Step 5: Solve for x
    x = 412,287,273,216/415,152
  6. Step 6: Final answer
    x = 993,099.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.