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Finding the Third Proportional to 296,897 and 639,722

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Solution

The third proportional to 296,897 and 639,722 is: 1,378,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,897 : 639,722 = 639,722 : x
  2. Step 2: Convert to fraction form
    296,897/639,722 = 639,722/x
  3. Step 3: Cross multiply
    296,897x = 639,722 × 639,722
  4. Step 4: Simplify right side
    296,897x = 409,244,237,284
  5. Step 5: Solve for x
    x = 409,244,237,284/296,897
  6. Step 6: Final answer
    x = 1,378,404.76

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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.