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Finding the Third Proportional to 240,379.50 and 518,838.75

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Solution

The third proportional to 240,379.50 and 518,838.75 is: 1,119,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,379.50 : 518,838.75 = 518,838.75 : x
  2. Step 2: Convert to fraction form
    240,379.50/518,838.75 = 518,838.75/x
  3. Step 3: Cross multiply
    240,379.50x = 518,838.75 × 518,838.75
  4. Step 4: Simplify right side
    240,379.50x = 269,193,648,501.56
  5. Step 5: Solve for x
    x = 269,193,648,501.56/240,379.50
  6. Step 6: Final answer
    x = 1,119,869.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.