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Finding the Third Proportional to 102,125 and 221,685

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Solution

The third proportional to 102,125 and 221,685 is: 481,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125 : 221,685 = 221,685 : x
  2. Step 2: Convert to fraction form
    102,125/221,685 = 221,685/x
  3. Step 3: Cross multiply
    102,125x = 221,685 × 221,685
  4. Step 4: Simplify right side
    102,125x = 49,144,239,225
  5. Step 5: Solve for x
    x = 49,144,239,225/102,125
  6. Step 6: Final answer
    x = 481,216.54

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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.