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Finding the Third Proportional to 355,456 and 759,872

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Solution

The third proportional to 355,456 and 759,872 is: 1,624,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,456 : 759,872 = 759,872 : x
  2. Step 2: Convert to fraction form
    355,456/759,872 = 759,872/x
  3. Step 3: Cross multiply
    355,456x = 759,872 × 759,872
  4. Step 4: Simplify right side
    355,456x = 577,405,456,384
  5. Step 5: Solve for x
    x = 577,405,456,384/355,456
  6. Step 6: Final answer
    x = 1,624,407.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.