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Finding the Third Proportional to 40,126 and 85,435

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Solution

The third proportional to 40,126 and 85,435 is: 181,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,126 : 85,435 = 85,435 : x
  2. Step 2: Convert to fraction form
    40,126/85,435 = 85,435/x
  3. Step 3: Cross multiply
    40,126x = 85,435 × 85,435
  4. Step 4: Simplify right side
    40,126x = 7,299,139,225
  5. Step 5: Solve for x
    x = 7,299,139,225/40,126
  6. Step 6: Final answer
    x = 181,905.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.