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Finding the Third Proportional to 101,136 and 221,715

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Solution

The third proportional to 101,136 and 221,715 is: 486,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,136 : 221,715 = 221,715 : x
  2. Step 2: Convert to fraction form
    101,136/221,715 = 221,715/x
  3. Step 3: Cross multiply
    101,136x = 221,715 × 221,715
  4. Step 4: Simplify right side
    101,136x = 49,157,541,225
  5. Step 5: Solve for x
    x = 49,157,541,225/101,136
  6. Step 6: Final answer
    x = 486,053.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.