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Finding the Third Proportional to 259,995.75 and 391,838

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Solution

The third proportional to 259,995.75 and 391,838 is: 590,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,995.75 : 391,838 = 391,838 : x
  2. Step 2: Convert to fraction form
    259,995.75/391,838 = 391,838/x
  3. Step 3: Cross multiply
    259,995.75x = 391,838 × 391,838
  4. Step 4: Simplify right side
    259,995.75x = 153,537,018,244
  5. Step 5: Solve for x
    x = 153,537,018,244/259,995.75
  6. Step 6: Final answer
    x = 590,536.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.