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Finding the Third Proportional to 329,115,031 and 685,470,717

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Solution

The third proportional to 329,115,031 and 685,470,717 is: 1,427,677,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,115,031 : 685,470,717 = 685,470,717 : x
  2. Step 2: Convert to fraction form
    329,115,031/685,470,717 = 685,470,717/x
  3. Step 3: Cross multiply
    329,115,031x = 685,470,717 × 685,470,717
  4. Step 4: Simplify right side
    329,115,031x = 469,870,103,864,494,080
  5. Step 5: Solve for x
    x = 469,870,103,864,494,080/329,115,031
  6. Step 6: Final answer
    x = 1,427,677,436.78

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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.