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Finding the Third Proportional to 86,777 and 189,466

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Solution

The third proportional to 86,777 and 189,466 is: 413,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,777 : 189,466 = 189,466 : x
  2. Step 2: Convert to fraction form
    86,777/189,466 = 189,466/x
  3. Step 3: Cross multiply
    86,777x = 189,466 × 189,466
  4. Step 4: Simplify right side
    86,777x = 35,897,365,156
  5. Step 5: Solve for x
    x = 35,897,365,156/86,777
  6. Step 6: Final answer
    x = 413,673.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.