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Finding the Third Proportional to 144,909 and 306,099

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Solution

The third proportional to 144,909 and 306,099 is: 646,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,909 : 306,099 = 306,099 : x
  2. Step 2: Convert to fraction form
    144,909/306,099 = 306,099/x
  3. Step 3: Cross multiply
    144,909x = 306,099 × 306,099
  4. Step 4: Simplify right side
    144,909x = 93,696,597,801
  5. Step 5: Solve for x
    x = 93,696,597,801/144,909
  6. Step 6: Final answer
    x = 646,589.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.