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Finding the Third Proportional to 92,438 and 189,256.50

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Solution

The third proportional to 92,438 and 189,256.50 is: 387,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,438 : 189,256.50 = 189,256.50 : x
  2. Step 2: Convert to fraction form
    92,438/189,256.50 = 189,256.50/x
  3. Step 3: Cross multiply
    92,438x = 189,256.50 × 189,256.50
  4. Step 4: Simplify right side
    92,438x = 35,818,022,792.25
  5. Step 5: Solve for x
    x = 35,818,022,792.25/92,438
  6. Step 6: Final answer
    x = 387,481.59

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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.