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Finding the Third Proportional to 276,322 and 439,394

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Solution

The third proportional to 276,322 and 439,394 is: 698,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,322 : 439,394 = 439,394 : x
  2. Step 2: Convert to fraction form
    276,322/439,394 = 439,394/x
  3. Step 3: Cross multiply
    276,322x = 439,394 × 439,394
  4. Step 4: Simplify right side
    276,322x = 193,067,087,236
  5. Step 5: Solve for x
    x = 193,067,087,236/276,322
  6. Step 6: Final answer
    x = 698,703.28

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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.