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Finding the Third Proportional to 259,740.75 and 398,972.25

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Solution

The third proportional to 259,740.75 and 398,972.25 is: 612,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740.75 : 398,972.25 = 398,972.25 : x
  2. Step 2: Convert to fraction form
    259,740.75/398,972.25 = 398,972.25/x
  3. Step 3: Cross multiply
    259,740.75x = 398,972.25 × 398,972.25
  4. Step 4: Simplify right side
    259,740.75x = 159,178,856,270.06
  5. Step 5: Solve for x
    x = 159,178,856,270.06/259,740.75
  6. Step 6: Final answer
    x = 612,837.44

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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.