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Finding the Third Proportional to 161,680 and 247,136

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Solution

The third proportional to 161,680 and 247,136 is: 377,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,680 : 247,136 = 247,136 : x
  2. Step 2: Convert to fraction form
    161,680/247,136 = 247,136/x
  3. Step 3: Cross multiply
    161,680x = 247,136 × 247,136
  4. Step 4: Simplify right side
    161,680x = 61,076,202,496
  5. Step 5: Solve for x
    x = 61,076,202,496/161,680
  6. Step 6: Final answer
    x = 377,759.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.