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Finding the Third Proportional to 276,654 and 439,173

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Solution

The third proportional to 276,654 and 439,173 is: 697,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,654 : 439,173 = 439,173 : x
  2. Step 2: Convert to fraction form
    276,654/439,173 = 439,173/x
  3. Step 3: Cross multiply
    276,654x = 439,173 × 439,173
  4. Step 4: Simplify right side
    276,654x = 192,872,923,929
  5. Step 5: Solve for x
    x = 192,872,923,929/276,654
  6. Step 6: Final answer
    x = 697,162.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.