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Finding the Third Proportional to 107,142 and 204,561

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Solution

The third proportional to 107,142 and 204,561 is: 390,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142 : 204,561 = 204,561 : x
  2. Step 2: Convert to fraction form
    107,142/204,561 = 204,561/x
  3. Step 3: Cross multiply
    107,142x = 204,561 × 204,561
  4. Step 4: Simplify right side
    107,142x = 41,845,202,721
  5. Step 5: Solve for x
    x = 41,845,202,721/107,142
  6. Step 6: Final answer
    x = 390,558.35

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.