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Finding the Third Proportional to 141,450 and 303,124.50

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Solution

The third proportional to 141,450 and 303,124.50 is: 649,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,450 : 303,124.50 = 303,124.50 : x
  2. Step 2: Convert to fraction form
    141,450/303,124.50 = 303,124.50/x
  3. Step 3: Cross multiply
    141,450x = 303,124.50 × 303,124.50
  4. Step 4: Simplify right side
    141,450x = 91,884,462,500.25
  5. Step 5: Solve for x
    x = 91,884,462,500.25/141,450
  6. Step 6: Final answer
    x = 649,589.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.