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Finding the Third Proportional to 259,243 and 399,919.50

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Solution

The third proportional to 259,243 and 399,919.50 is: 616,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,243 : 399,919.50 = 399,919.50 : x
  2. Step 2: Convert to fraction form
    259,243/399,919.50 = 399,919.50/x
  3. Step 3: Cross multiply
    259,243x = 399,919.50 × 399,919.50
  4. Step 4: Simplify right side
    259,243x = 159,935,606,480.25
  5. Step 5: Solve for x
    x = 159,935,606,480.25/259,243
  6. Step 6: Final answer
    x = 616,933.17

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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.