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Finding the Third Proportional to 668,285,109 and 1,391,567,256

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Solution

The third proportional to 668,285,109 and 1,391,567,256 is: 2,897,654,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,285,109 : 1,391,567,256 = 1,391,567,256 : x
  2. Step 2: Convert to fraction form
    668,285,109/1,391,567,256 = 1,391,567,256/x
  3. Step 3: Cross multiply
    668,285,109x = 1,391,567,256 × 1,391,567,256
  4. Step 4: Simplify right side
    668,285,109x = 1,936,459,427,971,369,472
  5. Step 5: Solve for x
    x = 1,936,459,427,971,369,472/668,285,109
  6. Step 6: Final answer
    x = 2,897,654,611.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.