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Finding the Third Proportional to 259,242 and 399,918

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Solution

The third proportional to 259,242 and 399,918 is: 616,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,242 : 399,918 = 399,918 : x
  2. Step 2: Convert to fraction form
    259,242/399,918 = 399,918/x
  3. Step 3: Cross multiply
    259,242x = 399,918 × 399,918
  4. Step 4: Simplify right side
    259,242x = 159,934,406,724
  5. Step 5: Solve for x
    x = 159,934,406,724/259,242
  6. Step 6: Final answer
    x = 616,930.92

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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.