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Finding the Third Proportional to 427,174,566 and 641,899,212

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Solution

The third proportional to 427,174,566 and 641,899,212 is: 964,557,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,174,566 : 641,899,212 = 641,899,212 : x
  2. Step 2: Convert to fraction form
    427,174,566/641,899,212 = 641,899,212/x
  3. Step 3: Cross multiply
    427,174,566x = 641,899,212 × 641,899,212
  4. Step 4: Simplify right side
    427,174,566x = 412,034,598,366,220,928
  5. Step 5: Solve for x
    x = 412,034,598,366,220,928/427,174,566
  6. Step 6: Final answer
    x = 964,557,890.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.