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Finding the Third Proportional to 400,859,243 and 838,370,054

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Solution

The third proportional to 400,859,243 and 838,370,054 is: 1,753,394,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,859,243 : 838,370,054 = 838,370,054 : x
  2. Step 2: Convert to fraction form
    400,859,243/838,370,054 = 838,370,054/x
  3. Step 3: Cross multiply
    400,859,243x = 838,370,054 × 838,370,054
  4. Step 4: Simplify right side
    400,859,243x = 702,864,347,443,962,880
  5. Step 5: Solve for x
    x = 702,864,347,443,962,880/400,859,243
  6. Step 6: Final answer
    x = 1,753,394,388.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.