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Finding the Third Proportional to 145,113.75 and 300,480.75

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Solution

The third proportional to 145,113.75 and 300,480.75 is: 622,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,113.75 : 300,480.75 = 300,480.75 : x
  2. Step 2: Convert to fraction form
    145,113.75/300,480.75 = 300,480.75/x
  3. Step 3: Cross multiply
    145,113.75x = 300,480.75 × 300,480.75
  4. Step 4: Simplify right side
    145,113.75x = 90,288,681,120.56
  5. Step 5: Solve for x
    x = 90,288,681,120.56/145,113.75
  6. Step 6: Final answer
    x = 622,192.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.