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Finding the Third Proportional to 638,213,672 and 1,397,496,222

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Solution

The third proportional to 638,213,672 and 1,397,496,222 is: 3,060,096,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,213,672 : 1,397,496,222 = 1,397,496,222 : x
  2. Step 2: Convert to fraction form
    638,213,672/1,397,496,222 = 1,397,496,222/x
  3. Step 3: Cross multiply
    638,213,672x = 1,397,496,222 × 1,397,496,222
  4. Step 4: Simplify right side
    638,213,672x = 1,952,995,690,504,273,408
  5. Step 5: Solve for x
    x = 1,952,995,690,504,273,408/638,213,672
  6. Step 6: Final answer
    x = 3,060,096,917.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.