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Finding the Third Proportional to 102,420 and 223,599

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Solution

The third proportional to 102,420 and 223,599 is: 488,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420 : 223,599 = 223,599 : x
  2. Step 2: Convert to fraction form
    102,420/223,599 = 223,599/x
  3. Step 3: Cross multiply
    102,420x = 223,599 × 223,599
  4. Step 4: Simplify right side
    102,420x = 49,996,512,801
  5. Step 5: Solve for x
    x = 49,996,512,801/102,420
  6. Step 6: Final answer
    x = 488,151.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.