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Finding the Third Proportional to 142,242 and 305,577

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Solution

The third proportional to 142,242 and 305,577 is: 656,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,242 : 305,577 = 305,577 : x
  2. Step 2: Convert to fraction form
    142,242/305,577 = 305,577/x
  3. Step 3: Cross multiply
    142,242x = 305,577 × 305,577
  4. Step 4: Simplify right side
    142,242x = 93,377,302,929
  5. Step 5: Solve for x
    x = 93,377,302,929/142,242
  6. Step 6: Final answer
    x = 656,467.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.