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Finding the Third Proportional to 433,678 and 667,428

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Solution

The third proportional to 433,678 and 667,428 is: 1,027,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,678 : 667,428 = 667,428 : x
  2. Step 2: Convert to fraction form
    433,678/667,428 = 667,428/x
  3. Step 3: Cross multiply
    433,678x = 667,428 × 667,428
  4. Step 4: Simplify right side
    433,678x = 445,460,135,184
  5. Step 5: Solve for x
    x = 445,460,135,184/433,678
  6. Step 6: Final answer
    x = 1,027,167.93

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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.