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Finding the Third Proportional to 408,845 and 572,916

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Solution

The third proportional to 408,845 and 572,916 is: 802,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,845 : 572,916 = 572,916 : x
  2. Step 2: Convert to fraction form
    408,845/572,916 = 572,916/x
  3. Step 3: Cross multiply
    408,845x = 572,916 × 572,916
  4. Step 4: Simplify right side
    408,845x = 328,232,743,056
  5. Step 5: Solve for x
    x = 328,232,743,056/408,845
  6. Step 6: Final answer
    x = 802,829.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.