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Finding the Third Proportional to 259,045.50 and 557,456.25

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Solution

The third proportional to 259,045.50 and 557,456.25 is: 1,199,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,045.50 : 557,456.25 = 557,456.25 : x
  2. Step 2: Convert to fraction form
    259,045.50/557,456.25 = 557,456.25/x
  3. Step 3: Cross multiply
    259,045.50x = 557,456.25 × 557,456.25
  4. Step 4: Simplify right side
    259,045.50x = 310,757,470,664.06
  5. Step 5: Solve for x
    x = 310,757,470,664.06/259,045.50
  6. Step 6: Final answer
    x = 1,199,625.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.