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Finding the Third Proportional to 259,236 and 399,910

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Solution

The third proportional to 259,236 and 399,910 is: 616,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,236 : 399,910 = 399,910 : x
  2. Step 2: Convert to fraction form
    259,236/399,910 = 399,910/x
  3. Step 3: Cross multiply
    259,236x = 399,910 × 399,910
  4. Step 4: Simplify right side
    259,236x = 159,928,008,100
  5. Step 5: Solve for x
    x = 159,928,008,100/259,236
  6. Step 6: Final answer
    x = 616,920.52

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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.