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Finding the Third Proportional to 435,856 and 660,305

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Solution

The third proportional to 435,856 and 660,305 is: 1,000,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,856 : 660,305 = 660,305 : x
  2. Step 2: Convert to fraction form
    435,856/660,305 = 660,305/x
  3. Step 3: Cross multiply
    435,856x = 660,305 × 660,305
  4. Step 4: Simplify right side
    435,856x = 436,002,693,025
  5. Step 5: Solve for x
    x = 436,002,693,025/435,856
  6. Step 6: Final answer
    x = 1,000,336.56

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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.