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Finding the Third Proportional to 38,477 and 83,515

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Solution

The third proportional to 38,477 and 83,515 is: 181,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477 : 83,515 = 83,515 : x
  2. Step 2: Convert to fraction form
    38,477/83,515 = 83,515/x
  3. Step 3: Cross multiply
    38,477x = 83,515 × 83,515
  4. Step 4: Simplify right side
    38,477x = 6,974,755,225
  5. Step 5: Solve for x
    x = 6,974,755,225/38,477
  6. Step 6: Final answer
    x = 181,270.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.