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Finding the Third Proportional to 383,456,940 and 838,658,640

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Solution

The third proportional to 383,456,940 and 838,658,640 is: 1,834,230,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,456,940 : 838,658,640 = 838,658,640 : x
  2. Step 2: Convert to fraction form
    383,456,940/838,658,640 = 838,658,640/x
  3. Step 3: Cross multiply
    383,456,940x = 838,658,640 × 838,658,640
  4. Step 4: Simplify right side
    383,456,940x = 703,348,314,446,649,600
  5. Step 5: Solve for x
    x = 703,348,314,446,649,600/383,456,940
  6. Step 6: Final answer
    x = 1,834,230,238.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.