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Finding the Third Proportional to 322,791,375 and 690,459,990

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Solution

The third proportional to 322,791,375 and 690,459,990 is: 1,476,913,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,791,375 : 690,459,990 = 690,459,990 : x
  2. Step 2: Convert to fraction form
    322,791,375/690,459,990 = 690,459,990/x
  3. Step 3: Cross multiply
    322,791,375x = 690,459,990 × 690,459,990
  4. Step 4: Simplify right side
    322,791,375x = 476,734,997,790,800,128
  5. Step 5: Solve for x
    x = 476,734,997,790,800,128/322,791,375
  6. Step 6: Final answer
    x = 1,476,913,680.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.