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Finding the Third Proportional to 445,709.25 and 960,720.75

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Solution

The third proportional to 445,709.25 and 960,720.75 is: 2,070,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,709.25 : 960,720.75 = 960,720.75 : x
  2. Step 2: Convert to fraction form
    445,709.25/960,720.75 = 960,720.75/x
  3. Step 3: Cross multiply
    445,709.25x = 960,720.75 × 960,720.75
  4. Step 4: Simplify right side
    445,709.25x = 922,984,359,480.56
  5. Step 5: Solve for x
    x = 922,984,359,480.56/445,709.25
  6. Step 6: Final answer
    x = 2,070,821.64

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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.