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Finding the Third Proportional to 456,885 and 669,738

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Solution

The third proportional to 456,885 and 669,738 is: 981,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,885 : 669,738 = 669,738 : x
  2. Step 2: Convert to fraction form
    456,885/669,738 = 669,738/x
  3. Step 3: Cross multiply
    456,885x = 669,738 × 669,738
  4. Step 4: Simplify right side
    456,885x = 448,548,988,644
  5. Step 5: Solve for x
    x = 448,548,988,644/456,885
  6. Step 6: Final answer
    x = 981,754.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.