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Finding the Third Proportional to 432,933,728 and 945,224,344

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Solution

The third proportional to 432,933,728 and 945,224,344 is: 2,063,708,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,933,728 : 945,224,344 = 945,224,344 : x
  2. Step 2: Convert to fraction form
    432,933,728/945,224,344 = 945,224,344/x
  3. Step 3: Cross multiply
    432,933,728x = 945,224,344 × 945,224,344
  4. Step 4: Simplify right side
    432,933,728x = 893,449,060,490,230,272
  5. Step 5: Solve for x
    x = 893,449,060,490,230,272/432,933,728
  6. Step 6: Final answer
    x = 2,063,708,606.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.