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Finding the Third Proportional to 259,243.50 and 399,920.25

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Solution

The third proportional to 259,243.50 and 399,920.25 is: 616,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,243.50 : 399,920.25 = 399,920.25 : x
  2. Step 2: Convert to fraction form
    259,243.50/399,920.25 = 399,920.25/x
  3. Step 3: Cross multiply
    259,243.50x = 399,920.25 × 399,920.25
  4. Step 4: Simplify right side
    259,243.50x = 159,936,206,360.06
  5. Step 5: Solve for x
    x = 159,936,206,360.06/259,243.50
  6. Step 6: Final answer
    x = 616,934.30

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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.