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Finding the Third Proportional to 259,796 and 400,638

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Solution

The third proportional to 259,796 and 400,638 is: 617,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,796 : 400,638 = 400,638 : x
  2. Step 2: Convert to fraction form
    259,796/400,638 = 400,638/x
  3. Step 3: Cross multiply
    259,796x = 400,638 × 400,638
  4. Step 4: Simplify right side
    259,796x = 160,510,807,044
  5. Step 5: Solve for x
    x = 160,510,807,044/259,796
  6. Step 6: Final answer
    x = 617,834.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.