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Finding the Third Proportional to 279,728 and 433,929

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Solution

The third proportional to 279,728 and 433,929 is: 673,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,728 : 433,929 = 433,929 : x
  2. Step 2: Convert to fraction form
    279,728/433,929 = 433,929/x
  3. Step 3: Cross multiply
    279,728x = 433,929 × 433,929
  4. Step 4: Simplify right side
    279,728x = 188,294,377,041
  5. Step 5: Solve for x
    x = 188,294,377,041/279,728
  6. Step 6: Final answer
    x = 673,133.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.