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Finding the Third Proportional to 422,976 and 655,362

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Solution

The third proportional to 422,976 and 655,362 is: 1,015,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,976 : 655,362 = 655,362 : x
  2. Step 2: Convert to fraction form
    422,976/655,362 = 655,362/x
  3. Step 3: Cross multiply
    422,976x = 655,362 × 655,362
  4. Step 4: Simplify right side
    422,976x = 429,499,351,044
  5. Step 5: Solve for x
    x = 429,499,351,044/422,976
  6. Step 6: Final answer
    x = 1,015,422.51

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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.