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Finding the Third Proportional to 422,853 and 655,764

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Solution

The third proportional to 422,853 and 655,764 is: 1,016,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,853 : 655,764 = 655,764 : x
  2. Step 2: Convert to fraction form
    422,853/655,764 = 655,764/x
  3. Step 3: Cross multiply
    422,853x = 655,764 × 655,764
  4. Step 4: Simplify right side
    422,853x = 430,026,423,696
  5. Step 5: Solve for x
    x = 430,026,423,696/422,853
  6. Step 6: Final answer
    x = 1,016,964.34

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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.