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Finding the Third Proportional to 447,378 and 677,580

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Solution

The third proportional to 447,378 and 677,580 is: 1,026,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,378 : 677,580 = 677,580 : x
  2. Step 2: Convert to fraction form
    447,378/677,580 = 677,580/x
  3. Step 3: Cross multiply
    447,378x = 677,580 × 677,580
  4. Step 4: Simplify right side
    447,378x = 459,114,656,400
  5. Step 5: Solve for x
    x = 459,114,656,400/447,378
  6. Step 6: Final answer
    x = 1,026,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.