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Finding the Third Proportional to 677,405 and 997,393

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Solution

The third proportional to 677,405 and 997,393 is: 1,468,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,405 : 997,393 = 997,393 : x
  2. Step 2: Convert to fraction form
    677,405/997,393 = 997,393/x
  3. Step 3: Cross multiply
    677,405x = 997,393 × 997,393
  4. Step 4: Simplify right side
    677,405x = 994,792,796,449
  5. Step 5: Solve for x
    x = 994,792,796,449/677,405
  6. Step 6: Final answer
    x = 1,468,534.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.