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Finding the Third Proportional to 279,729 and 433,935

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Solution

The third proportional to 279,729 and 433,935 is: 673,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,729 : 433,935 = 433,935 : x
  2. Step 2: Convert to fraction form
    279,729/433,935 = 433,935/x
  3. Step 3: Cross multiply
    279,729x = 433,935 × 433,935
  4. Step 4: Simplify right side
    279,729x = 188,299,584,225
  5. Step 5: Solve for x
    x = 188,299,584,225/279,729
  6. Step 6: Final answer
    x = 673,150.03

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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.