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Finding the Third Proportional to 307,982,110.50 and 641,440,584

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Solution

The third proportional to 307,982,110.50 and 641,440,584 is: 1,335,941,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982,110.50 : 641,440,584 = 641,440,584 : x
  2. Step 2: Convert to fraction form
    307,982,110.50/641,440,584 = 641,440,584/x
  3. Step 3: Cross multiply
    307,982,110.50x = 641,440,584 × 641,440,584
  4. Step 4: Simplify right side
    307,982,110.50x = 411,446,022,802,261,056
  5. Step 5: Solve for x
    x = 411,446,022,802,261,056/307,982,110.50
  6. Step 6: Final answer
    x = 1,335,941,305.60

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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.