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Finding the Third Proportional to 135,870 and 295,062

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Solution

The third proportional to 135,870 and 295,062 is: 640,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,870 : 295,062 = 295,062 : x
  2. Step 2: Convert to fraction form
    135,870/295,062 = 295,062/x
  3. Step 3: Cross multiply
    135,870x = 295,062 × 295,062
  4. Step 4: Simplify right side
    135,870x = 87,061,583,844
  5. Step 5: Solve for x
    x = 87,061,583,844/135,870
  6. Step 6: Final answer
    x = 640,771.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.