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Finding the Third Proportional to 259,233 and 399,906

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Solution

The third proportional to 259,233 and 399,906 is: 616,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,233 : 399,906 = 399,906 : x
  2. Step 2: Convert to fraction form
    259,233/399,906 = 399,906/x
  3. Step 3: Cross multiply
    259,233x = 399,906 × 399,906
  4. Step 4: Simplify right side
    259,233x = 159,924,808,836
  5. Step 5: Solve for x
    x = 159,924,808,836/259,233
  6. Step 6: Final answer
    x = 616,915.32

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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.