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Finding the Third Proportional to 135,729 and 295,554

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Solution

The third proportional to 135,729 and 295,554 is: 643,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729 : 295,554 = 295,554 : x
  2. Step 2: Convert to fraction form
    135,729/295,554 = 295,554/x
  3. Step 3: Cross multiply
    135,729x = 295,554 × 295,554
  4. Step 4: Simplify right side
    135,729x = 87,352,166,916
  5. Step 5: Solve for x
    x = 87,352,166,916/135,729
  6. Step 6: Final answer
    x = 643,577.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.