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Finding the Third Proportional to 259,951,072 and 403,809,664

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Solution

The third proportional to 259,951,072 and 403,809,664 is: 627,280,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,951,072 : 403,809,664 = 403,809,664 : x
  2. Step 2: Convert to fraction form
    259,951,072/403,809,664 = 403,809,664/x
  3. Step 3: Cross multiply
    259,951,072x = 403,809,664 × 403,809,664
  4. Step 4: Simplify right side
    259,951,072x = 163,062,244,739,792,896
  5. Step 5: Solve for x
    x = 163,062,244,739,792,896/259,951,072
  6. Step 6: Final answer
    x = 627,280,524.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.