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Finding the Third Proportional to 102,270 and 223,485

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Solution

The third proportional to 102,270 and 223,485 is: 488,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,270 : 223,485 = 223,485 : x
  2. Step 2: Convert to fraction form
    102,270/223,485 = 223,485/x
  3. Step 3: Cross multiply
    102,270x = 223,485 × 223,485
  4. Step 4: Simplify right side
    102,270x = 49,945,545,225
  5. Step 5: Solve for x
    x = 49,945,545,225/102,270
  6. Step 6: Final answer
    x = 488,369.47

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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.