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Finding the Third Proportional to 416,016 and 642,735

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Solution

The third proportional to 416,016 and 642,735 is: 993,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,016 : 642,735 = 642,735 : x
  2. Step 2: Convert to fraction form
    416,016/642,735 = 642,735/x
  3. Step 3: Cross multiply
    416,016x = 642,735 × 642,735
  4. Step 4: Simplify right side
    416,016x = 413,108,280,225
  5. Step 5: Solve for x
    x = 413,108,280,225/416,016
  6. Step 6: Final answer
    x = 993,010.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.