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Finding the Third Proportional to 180,072 and 386,829

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Solution

The third proportional to 180,072 and 386,829 is: 830,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,072 : 386,829 = 386,829 : x
  2. Step 2: Convert to fraction form
    180,072/386,829 = 386,829/x
  3. Step 3: Cross multiply
    180,072x = 386,829 × 386,829
  4. Step 4: Simplify right side
    180,072x = 149,636,675,241
  5. Step 5: Solve for x
    x = 149,636,675,241/180,072
  6. Step 6: Final answer
    x = 830,982.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.