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Finding the Third Proportional to 409,856,577.75 and 599,413,393.69

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Solution

The third proportional to 409,856,577.75 and 599,413,393.69 is: 876,639,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856,577.75 : 599,413,393.69 = 599,413,393.69 : x
  2. Step 2: Convert to fraction form
    409,856,577.75/599,413,393.69 = 599,413,393.69/x
  3. Step 3: Cross multiply
    409,856,577.75x = 599,413,393.69 × 599,413,393.69
  4. Step 4: Simplify right side
    409,856,577.75x = 359,296,416,531,965,888
  5. Step 5: Solve for x
    x = 359,296,416,531,965,888/409,856,577.75
  6. Step 6: Final answer
    x = 876,639,380.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.