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Finding the Third Proportional to 638,318 and 945,153

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Solution

The third proportional to 638,318 and 945,153 is: 1,399,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,318 : 945,153 = 945,153 : x
  2. Step 2: Convert to fraction form
    638,318/945,153 = 945,153/x
  3. Step 3: Cross multiply
    638,318x = 945,153 × 945,153
  4. Step 4: Simplify right side
    638,318x = 893,314,193,409
  5. Step 5: Solve for x
    x = 893,314,193,409/638,318
  6. Step 6: Final answer
    x = 1,399,481.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.