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Finding the Third Proportional to 142,086 and 205,272

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Solution

The third proportional to 142,086 and 205,272 is: 296,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086 : 205,272 = 205,272 : x
  2. Step 2: Convert to fraction form
    142,086/205,272 = 205,272/x
  3. Step 3: Cross multiply
    142,086x = 205,272 × 205,272
  4. Step 4: Simplify right side
    142,086x = 42,136,593,984
  5. Step 5: Solve for x
    x = 42,136,593,984/142,086
  6. Step 6: Final answer
    x = 296,556.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.