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Finding the Third Proportional to 143,741.25 and 305,920.13

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Solution

The third proportional to 143,741.25 and 305,920.13 is: 651,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,741.25 : 305,920.13 = 305,920.13 : x
  2. Step 2: Convert to fraction form
    143,741.25/305,920.13 = 305,920.13/x
  3. Step 3: Cross multiply
    143,741.25x = 305,920.13 × 305,920.13
  4. Step 4: Simplify right side
    143,741.25x = 93,587,122,880.02
  5. Step 5: Solve for x
    x = 93,587,122,880.02/143,741.25
  6. Step 6: Final answer
    x = 651,080.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.