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Finding the Third Proportional to 677,422 and 997,420

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Solution

The third proportional to 677,422 and 997,420 is: 1,468,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,422 : 997,420 = 997,420 : x
  2. Step 2: Convert to fraction form
    677,422/997,420 = 997,420/x
  3. Step 3: Cross multiply
    677,422x = 997,420 × 997,420
  4. Step 4: Simplify right side
    677,422x = 994,846,656,400
  5. Step 5: Solve for x
    x = 994,846,656,400/677,422
  6. Step 6: Final answer
    x = 1,468,577.43

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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.