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Finding the Third Proportional to 118,916 and 161,972

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Solution

The third proportional to 118,916 and 161,972 is: 220,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,916 : 161,972 = 161,972 : x
  2. Step 2: Convert to fraction form
    118,916/161,972 = 161,972/x
  3. Step 3: Cross multiply
    118,916x = 161,972 × 161,972
  4. Step 4: Simplify right side
    118,916x = 26,234,928,784
  5. Step 5: Solve for x
    x = 26,234,928,784/118,916
  6. Step 6: Final answer
    x = 220,617.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.