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Finding the Third Proportional to 415,074 and 622,611

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Solution

The third proportional to 415,074 and 622,611 is: 933,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,074 : 622,611 = 622,611 : x
  2. Step 2: Convert to fraction form
    415,074/622,611 = 622,611/x
  3. Step 3: Cross multiply
    415,074x = 622,611 × 622,611
  4. Step 4: Simplify right side
    415,074x = 387,644,457,321
  5. Step 5: Solve for x
    x = 387,644,457,321/415,074
  6. Step 6: Final answer
    x = 933,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.