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Finding the Third Proportional to 427,174,564 and 641,899,208

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Solution

The third proportional to 427,174,564 and 641,899,208 is: 964,557,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,174,564 : 641,899,208 = 641,899,208 : x
  2. Step 2: Convert to fraction form
    427,174,564/641,899,208 = 641,899,208/x
  3. Step 3: Cross multiply
    427,174,564x = 641,899,208 × 641,899,208
  4. Step 4: Simplify right side
    427,174,564x = 412,034,593,231,027,264
  5. Step 5: Solve for x
    x = 412,034,593,231,027,264/427,174,564
  6. Step 6: Final answer
    x = 964,557,883.25

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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.