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Finding the Third Proportional to 92,429 and 189,228

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Solution

The third proportional to 92,429 and 189,228 is: 387,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,429 : 189,228 = 189,228 : x
  2. Step 2: Convert to fraction form
    92,429/189,228 = 189,228/x
  3. Step 3: Cross multiply
    92,429x = 189,228 × 189,228
  4. Step 4: Simplify right side
    92,429x = 35,807,235,984
  5. Step 5: Solve for x
    x = 35,807,235,984/92,429
  6. Step 6: Final answer
    x = 387,402.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.