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Finding the Third Proportional to 242,985.75 and 342,027

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Solution

The third proportional to 242,985.75 and 342,027 is: 481,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,985.75 : 342,027 = 342,027 : x
  2. Step 2: Convert to fraction form
    242,985.75/342,027 = 342,027/x
  3. Step 3: Cross multiply
    242,985.75x = 342,027 × 342,027
  4. Step 4: Simplify right side
    242,985.75x = 116,982,468,729
  5. Step 5: Solve for x
    x = 116,982,468,729/242,985.75
  6. Step 6: Final answer
    x = 481,437.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.