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Finding the Third Proportional to 203,920,668 and 311,732,748

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Solution

The third proportional to 203,920,668 and 311,732,748 is: 476,544,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920,668 : 311,732,748 = 311,732,748 : x
  2. Step 2: Convert to fraction form
    203,920,668/311,732,748 = 311,732,748/x
  3. Step 3: Cross multiply
    203,920,668x = 311,732,748 × 311,732,748
  4. Step 4: Simplify right side
    203,920,668x = 97,177,306,175,631,504
  5. Step 5: Solve for x
    x = 97,177,306,175,631,504/203,920,668
  6. Step 6: Final answer
    x = 476,544,663.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.