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Finding the Third Proportional to 279,434 and 428,159

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Solution

The third proportional to 279,434 and 428,159 is: 656,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,434 : 428,159 = 428,159 : x
  2. Step 2: Convert to fraction form
    279,434/428,159 = 428,159/x
  3. Step 3: Cross multiply
    279,434x = 428,159 × 428,159
  4. Step 4: Simplify right side
    279,434x = 183,320,129,281
  5. Step 5: Solve for x
    x = 183,320,129,281/279,434
  6. Step 6: Final answer
    x = 656,040.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.