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Finding the Third Proportional to 415,214 and 620,652

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Solution

The third proportional to 415,214 and 620,652 is: 927,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214 : 620,652 = 620,652 : x
  2. Step 2: Convert to fraction form
    415,214/620,652 = 620,652/x
  3. Step 3: Cross multiply
    415,214x = 620,652 × 620,652
  4. Step 4: Simplify right side
    415,214x = 385,208,905,104
  5. Step 5: Solve for x
    x = 385,208,905,104/415,214
  6. Step 6: Final answer
    x = 927,735.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.