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Finding the Third Proportional to 456,450 and 667,770

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Solution

The third proportional to 456,450 and 667,770 is: 976,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,450 : 667,770 = 667,770 : x
  2. Step 2: Convert to fraction form
    456,450/667,770 = 667,770/x
  3. Step 3: Cross multiply
    456,450x = 667,770 × 667,770
  4. Step 4: Simplify right side
    456,450x = 445,916,772,900
  5. Step 5: Solve for x
    x = 445,916,772,900/456,450
  6. Step 6: Final answer
    x = 976,923.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.