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Finding the Third Proportional to 328,636,298.25 and 693,942,147

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Solution

The third proportional to 328,636,298.25 and 693,942,147 is: 1,465,315,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,636,298.25 : 693,942,147 = 693,942,147 : x
  2. Step 2: Convert to fraction form
    328,636,298.25/693,942,147 = 693,942,147/x
  3. Step 3: Cross multiply
    328,636,298.25x = 693,942,147 × 693,942,147
  4. Step 4: Simplify right side
    328,636,298.25x = 481,555,703,382,969,600
  5. Step 5: Solve for x
    x = 481,555,703,382,969,600/328,636,298.25
  6. Step 6: Final answer
    x = 1,465,315,018.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.