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Finding the Third Proportional to 155,116.69 and 324,438.75

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Solution

The third proportional to 155,116.69 and 324,438.75 is: 678,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,116.69 : 324,438.75 = 324,438.75 : x
  2. Step 2: Convert to fraction form
    155,116.69/324,438.75 = 324,438.75/x
  3. Step 3: Cross multiply
    155,116.69x = 324,438.75 × 324,438.75
  4. Step 4: Simplify right side
    155,116.69x = 105,260,502,501.56
  5. Step 5: Solve for x
    x = 105,260,502,501.56/155,116.69
  6. Step 6: Final answer
    x = 678,589.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.