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Finding the Third Proportional to 140,230.50 and 300,135

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Solution

The third proportional to 140,230.50 and 300,135 is: 642,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,230.50 : 300,135 = 300,135 : x
  2. Step 2: Convert to fraction form
    140,230.50/300,135 = 300,135/x
  3. Step 3: Cross multiply
    140,230.50x = 300,135 × 300,135
  4. Step 4: Simplify right side
    140,230.50x = 90,081,018,225
  5. Step 5: Solve for x
    x = 90,081,018,225/140,230.50
  6. Step 6: Final answer
    x = 642,378.21

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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.