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Finding the Third Proportional to 135,729 and 295,551

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Solution

The third proportional to 135,729 and 295,551 is: 643,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729 : 295,551 = 295,551 : x
  2. Step 2: Convert to fraction form
    135,729/295,551 = 295,551/x
  3. Step 3: Cross multiply
    135,729x = 295,551 × 295,551
  4. Step 4: Simplify right side
    135,729x = 87,350,393,601
  5. Step 5: Solve for x
    x = 87,350,393,601/135,729
  6. Step 6: Final answer
    x = 643,564.70

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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.