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Finding the Third Proportional to 282,578.25 and 395,258.63

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Solution

The third proportional to 282,578.25 and 395,258.63 is: 552,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,578.25 : 395,258.63 = 395,258.63 : x
  2. Step 2: Convert to fraction form
    282,578.25/395,258.63 = 395,258.63/x
  3. Step 3: Cross multiply
    282,578.25x = 395,258.63 × 395,258.63
  4. Step 4: Simplify right side
    282,578.25x = 156,229,380,636.89
  5. Step 5: Solve for x
    x = 156,229,380,636.89/282,578.25
  6. Step 6: Final answer
    x = 552,871.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.