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Finding the Third Proportional to 160,972 and 218,621

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Solution

The third proportional to 160,972 and 218,621 is: 296,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972 : 218,621 = 218,621 : x
  2. Step 2: Convert to fraction form
    160,972/218,621 = 218,621/x
  3. Step 3: Cross multiply
    160,972x = 218,621 × 218,621
  4. Step 4: Simplify right side
    160,972x = 47,795,141,641
  5. Step 5: Solve for x
    x = 47,795,141,641/160,972
  6. Step 6: Final answer
    x = 296,915.87

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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.