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Finding the Third Proportional to 143,495.25 and 312,825.75

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Solution

The third proportional to 143,495.25 and 312,825.75 is: 681,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,495.25 : 312,825.75 = 312,825.75 : x
  2. Step 2: Convert to fraction form
    143,495.25/312,825.75 = 312,825.75/x
  3. Step 3: Cross multiply
    143,495.25x = 312,825.75 × 312,825.75
  4. Step 4: Simplify right side
    143,495.25x = 97,859,949,863.06
  5. Step 5: Solve for x
    x = 97,859,949,863.06/143,495.25
  6. Step 6: Final answer
    x = 681,973.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.