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Finding the Third Proportional to 131,450 and 285,043

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Solution

The third proportional to 131,450 and 285,043 is: 618,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,450 : 285,043 = 285,043 : x
  2. Step 2: Convert to fraction form
    131,450/285,043 = 285,043/x
  3. Step 3: Cross multiply
    131,450x = 285,043 × 285,043
  4. Step 4: Simplify right side
    131,450x = 81,249,511,849
  5. Step 5: Solve for x
    x = 81,249,511,849/131,450
  6. Step 6: Final answer
    x = 618,102.03

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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.