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Finding the Third Proportional to 434,166 and 667,740

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Solution

The third proportional to 434,166 and 667,740 is: 1,026,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,166 : 667,740 = 667,740 : x
  2. Step 2: Convert to fraction form
    434,166/667,740 = 667,740/x
  3. Step 3: Cross multiply
    434,166x = 667,740 × 667,740
  4. Step 4: Simplify right side
    434,166x = 445,876,707,600
  5. Step 5: Solve for x
    x = 445,876,707,600/434,166
  6. Step 6: Final answer
    x = 1,026,972.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.