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Finding the Third Proportional to 259,048 and 399,645.50

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Solution

The third proportional to 259,048 and 399,645.50 is: 616,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,048 : 399,645.50 = 399,645.50 : x
  2. Step 2: Convert to fraction form
    259,048/399,645.50 = 399,645.50/x
  3. Step 3: Cross multiply
    259,048x = 399,645.50 × 399,645.50
  4. Step 4: Simplify right side
    259,048x = 159,716,525,670.25
  5. Step 5: Solve for x
    x = 159,716,525,670.25/259,048
  6. Step 6: Final answer
    x = 616,551.86

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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.