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Finding the Third Proportional to 409,569,423 and 902,622,138

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Solution

The third proportional to 409,569,423 and 902,622,138 is: 1,989,227,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,569,423 : 902,622,138 = 902,622,138 : x
  2. Step 2: Convert to fraction form
    409,569,423/902,622,138 = 902,622,138/x
  3. Step 3: Cross multiply
    409,569,423x = 902,622,138 × 902,622,138
  4. Step 4: Simplify right side
    409,569,423x = 814,726,724,007,691,008
  5. Step 5: Solve for x
    x = 814,726,724,007,691,008/409,569,423
  6. Step 6: Final answer
    x = 1,989,227,413.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.