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Finding the Third Proportional to 296,972 and 639,898

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Solution

The third proportional to 296,972 and 639,898 is: 1,378,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,972 : 639,898 = 639,898 : x
  2. Step 2: Convert to fraction form
    296,972/639,898 = 639,898/x
  3. Step 3: Cross multiply
    296,972x = 639,898 × 639,898
  4. Step 4: Simplify right side
    296,972x = 409,469,450,404
  5. Step 5: Solve for x
    x = 409,469,450,404/296,972
  6. Step 6: Final answer
    x = 1,378,815.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.