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Finding the Third Proportional to 422,444 and 654,539

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Solution

The third proportional to 422,444 and 654,539 is: 1,014,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,444 : 654,539 = 654,539 : x
  2. Step 2: Convert to fraction form
    422,444/654,539 = 654,539/x
  3. Step 3: Cross multiply
    422,444x = 654,539 × 654,539
  4. Step 4: Simplify right side
    422,444x = 428,421,302,521
  5. Step 5: Solve for x
    x = 428,421,302,521/422,444
  6. Step 6: Final answer
    x = 1,014,149.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.