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Finding the Third Proportional to 316,048 and 669,266

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Solution

The third proportional to 316,048 and 669,266 is: 1,417,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,048 : 669,266 = 669,266 : x
  2. Step 2: Convert to fraction form
    316,048/669,266 = 669,266/x
  3. Step 3: Cross multiply
    316,048x = 669,266 × 669,266
  4. Step 4: Simplify right side
    316,048x = 447,916,978,756
  5. Step 5: Solve for x
    x = 447,916,978,756/316,048
  6. Step 6: Final answer
    x = 1,417,243.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.