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Finding the Third Proportional to 415,402 and 622,410

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Solution

The third proportional to 415,402 and 622,410 is: 932,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,402 : 622,410 = 622,410 : x
  2. Step 2: Convert to fraction form
    415,402/622,410 = 622,410/x
  3. Step 3: Cross multiply
    415,402x = 622,410 × 622,410
  4. Step 4: Simplify right side
    415,402x = 387,394,208,100
  5. Step 5: Solve for x
    x = 387,394,208,100/415,402
  6. Step 6: Final answer
    x = 932,576.66

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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.