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Finding the Third Proportional to 259,244.50 and 399,922

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Solution

The third proportional to 259,244.50 and 399,922 is: 616,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,244.50 : 399,922 = 399,922 : x
  2. Step 2: Convert to fraction form
    259,244.50/399,922 = 399,922/x
  3. Step 3: Cross multiply
    259,244.50x = 399,922 × 399,922
  4. Step 4: Simplify right side
    259,244.50x = 159,937,606,084
  5. Step 5: Solve for x
    x = 159,937,606,084/259,244.50
  6. Step 6: Final answer
    x = 616,937.32

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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.