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Finding the Third Proportional to 415,760 and 669,576

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Solution

The third proportional to 415,760 and 669,576 is: 1,078,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,760 : 669,576 = 669,576 : x
  2. Step 2: Convert to fraction form
    415,760/669,576 = 669,576/x
  3. Step 3: Cross multiply
    415,760x = 669,576 × 669,576
  4. Step 4: Simplify right side
    415,760x = 448,332,019,776
  5. Step 5: Solve for x
    x = 448,332,019,776/415,760
  6. Step 6: Final answer
    x = 1,078,343.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.