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Finding the Third Proportional to 409,320 and 880,201.69

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Solution

The third proportional to 409,320 and 880,201.69 is: 1,892,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,320 : 880,201.69 = 880,201.69 : x
  2. Step 2: Convert to fraction form
    409,320/880,201.69 = 880,201.69/x
  3. Step 3: Cross multiply
    409,320x = 880,201.69 × 880,201.69
  4. Step 4: Simplify right side
    409,320x = 774,755,010,677.85
  5. Step 5: Solve for x
    x = 774,755,010,677.85/409,320
  6. Step 6: Final answer
    x = 1,892,785.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.