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Finding the Third Proportional to 403,236 and 880,256

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Solution

The third proportional to 403,236 and 880,256 is: 1,921,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,236 : 880,256 = 880,256 : x
  2. Step 2: Convert to fraction form
    403,236/880,256 = 880,256/x
  3. Step 3: Cross multiply
    403,236x = 880,256 × 880,256
  4. Step 4: Simplify right side
    403,236x = 774,850,625,536
  5. Step 5: Solve for x
    x = 774,850,625,536/403,236
  6. Step 6: Final answer
    x = 1,921,580.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.